Solve: 7.1/23 = x/92
Understand the Problem
The question is asking us to solve the equation using cross-multiplication to find the value of x in the proportion set up by the fractions 7.1/23 and x/92.
Answer
The value of \( x \) is \( 28.4 \).
Answer for screen readers
The value of ( x ) is ( 28.4 ).
Steps to Solve
- Set up the equation
To solve the proportion using cross-multiplication, we set it up as follows:
$$ 7.1 \cdot 92 = 23 \cdot x $$
- Calculate the left side
Now, we will calculate ( 7.1 \cdot 92 ):
$$ 7.1 \cdot 92 = 653.2 $$
- Rewrite the equation
The equation now looks like this:
$$ 653.2 = 23x $$
- Isolate x
To solve for ( x ), we divide both sides by 23:
$$ x = \frac{653.2}{23} $$
- Calculate the value of x
Now, we'll perform the division:
$$ x = 28.4 $$
The value of ( x ) is ( 28.4 ).
More Information
This solution uses the method of cross-multiplication, which is a standard technique for solving proportions. It allows us to find the missing variable by setting the products of means and extremes equal to each other.
Tips
- Forgetting to multiply both sides correctly during cross-multiplication.
- Miscalculating the multiplication or the division step.
- Not isolating ( x ) correctly before performing the final division.
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