A company is calculating the original price 'p' of a vehicle using the equation 12,000 = (3/4)p. To isolate 'p' and solve the equation, both sides should be multiplied by which value?

A logistics coordinator is solving the equation 15,000 = (5/6)p to find the original purchase price 'p' of a delivery truck. According to the Multiplication Property of Equality, the coordinator must multiply both sides of the equation by the ____ of the fraction 5/6 to isolate the variable.

A fleet manager is calculating the original price of a company vehicle that was purchased used. To find the price using the standard problem-solving strategy, arrange the following actions in the correct chronological order from start to finish.

A corporate logistics manager is calculating the original purchase price (p) of a fleet vehicle using the equation 12,000 = 3/4p. Match each mathematical component of this solving process with its correct definition or role.

Verifying the Original Price Calculation

Vehicle Fleet Price Translation

In a corporate fleet audit, if a vehicle's current value is reported as being a 'fraction of' its original price, the word 'of' indicates that the fraction should be multiplied by the original price to set up the algebraic equation.

Standard Operating Procedure for Original Asset Value

In a corporate procurement audit, a manager needs to isolate a variable in the equation 12,000 = (3/4)p by multiplying both sides by the reciprocal (4/3). Which mathematical property ensures that the product of (4/3) and (3/4) is equal to 1?

During a corporate asset audit, a manager uses the equation $12,000 = \frac{3}{4}p to determine the original value of a vehicle. After finding a potential answer, the manager substitutes that value back into the original problem to confirm it accurately results in $12,000. Which specific step of the standard problem-solving strategy is the manager performing?