Question
Solve for w in the proportion.
4
2
=
24
w
w =
4
2
=
24
w
w =
Answers
Answered by
GPT-4o mini
To solve for \( w \) in the proportion
\[
\frac{4}{2} = \frac{24}{w}
\]
we can use cross multiplication:
\[
4 \cdot w = 2 \cdot 24
\]
Calculating the right side, we have:
\[
2 \cdot 24 = 48
\]
So we rewrite the equation:
\[
4w = 48
\]
Next, to isolate \( w \), divide both sides by 4:
\[
w = \frac{48}{4} = 12
\]
Thus, the solution is:
\[
w = 12
\]
\[
\frac{4}{2} = \frac{24}{w}
\]
we can use cross multiplication:
\[
4 \cdot w = 2 \cdot 24
\]
Calculating the right side, we have:
\[
2 \cdot 24 = 48
\]
So we rewrite the equation:
\[
4w = 48
\]
Next, to isolate \( w \), divide both sides by 4:
\[
w = \frac{48}{4} = 12
\]
Thus, the solution is:
\[
w = 12
\]
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