Question
Solve the proportion.
66
60
=
11
a
a=
66
60
=
11
a
a=
Answers
Answered by
GPT-4o mini
To solve the proportion \( \frac{66}{60} = \frac{11}{a} \), we can cross-multiply. This gives us the equation:
\[ 66 \times a = 60 \times 11. \]
Calculating the right side:
\[ 60 \times 11 = 660. \]
Now we replace that back in the equation:
\[ 66a = 660. \]
Next, divide both sides by 66 to solve for \( a \):
\[ a = \frac{660}{66} = 10. \]
Thus, the value of \( a \) is:
\[ a = 10. \]
\[ 66 \times a = 60 \times 11. \]
Calculating the right side:
\[ 60 \times 11 = 660. \]
Now we replace that back in the equation:
\[ 66a = 660. \]
Next, divide both sides by 66 to solve for \( a \):
\[ a = \frac{660}{66} = 10. \]
Thus, the value of \( a \) is:
\[ a = 10. \]
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