Problem preview
MF.PR.7 Standard MF-021-A04-V01

Solve proportion equations and explain why the setup matches the context.

Complete a proportion-solving step

Problem

A student is solving the proportion \(6/9~=~x/15\).

Their work is shown below:
\(6/9~=~x/15\)
\(6~\cdot~15~=~9~\cdot~x\)
\(90~=~9x\)
\(x~=\)

Complete the missing final value.

Big Picture

What this problem is really about

The displayed cross multiplication is already complete, so the task is to finish the ordinary equation ninety equals nine x. We’ll isolate x by dividing both sides by the coefficient nine, rather than copying a number from the original proportion. Substitution will let us reduce both ratios and confirm the missing final value.

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Four variants of this problem type
Curriculum context
Standard
MF.PR.7
Category
Proportional Reasoning
Domain
Equations
Objective
Solve proportion equations and explain why the setup matches the context.
Problem type
Complete a proportion-solving step