Solve Proportions and their Applications: example 6.42

Solve: $\frac{x}{63} = \frac{4}{7} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve the proportion: $\frac{n}{84} = \frac{11}{12} .$

How did it go?


To isolate $x$ , multiply both sides by the LCD, 63.
Simplify.
Divide the common factors.
Check: To check our answer, we substitute into the original proportion.


Show common factors.
Simplify.


To isolate $x$ , multiply both sides by the LCD, 63.
Simplify.
Divide the common factors.
Check: To check our answer, we substitute into the original proportion.


Show common factors.
Simplify.