Question

Solve the proportion
m / 9 = 24 /36



Choose the best answer from the options below:
A 9
B 13.5
C 6
D 4

Answer 1

To solve the proportion \( \frac{m}{9} = \frac{24}{36} \), we can first simplify the fraction on the right:

\[
\frac{24}{36} = \frac{2}{3}
\]

Now we rewrite the proportion:

\[
\frac{m}{9} = \frac{2}{3}
\]

Next, we can cross-multiply:

\[
m \cdot 3 = 2 \cdot 9
\]

This simplifies to:

\[
3m = 18
\]

Now, we can solve for \( m \) by dividing both sides by 3:

\[
m = \frac{18}{3} = 6
\]

Therefore, the value of \( m \) is \( 6 \).

The best answer from the options below is:
C 6