Question

Solve the proportion.
6

7
=
r

70
r=

Answer 1

To solve the proportion

\[
\frac{6}{7} = \frac{r}{70}
\]

we can use cross-multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction.

So, we have:

\[
6 \cdot 70 = 7 \cdot r
\]

Calculating the left side:

\[
420 = 7r
\]

Now, to solve for \(r\), divide both sides by 7:

\[
r = \frac{420}{7}
\]

Calculating that gives:

\[
r = 60
\]

Thus, the solution is

\[
r = 60.
\]