Question
Solve for z in the proportion.
15
10
=
9
z
Answers
Answered by
GPT-4o mini
To solve for \( z \) in the proportion
\[
\frac{15}{10} = \frac{9}{z},
\]
we can use cross-multiplication. Cross-multiplying gives us:
\[
15z = 10 \cdot 9.
\]
Calculating the right side:
\[
10 \cdot 9 = 90,
\]
so we have:
\[
15z = 90.
\]
Now, divide both sides by 15 to solve for \( z \):
\[
z = \frac{90}{15}.
\]
Calculating the division gives us:
\[
z = 6.
\]
Thus, the solution is
\[
\boxed{6}.
\]
\[
\frac{15}{10} = \frac{9}{z},
\]
we can use cross-multiplication. Cross-multiplying gives us:
\[
15z = 10 \cdot 9.
\]
Calculating the right side:
\[
10 \cdot 9 = 90,
\]
so we have:
\[
15z = 90.
\]
Now, divide both sides by 15 to solve for \( z \):
\[
z = \frac{90}{15}.
\]
Calculating the division gives us:
\[
z = 6.
\]
Thus, the solution is
\[
\boxed{6}.
\]
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