Question #6445792Fill in the Blank
Algebra-1
Question
Solve forin the proportion. The value of is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a proportion using cross-multiplication. The problem involves setting up the proportion and then solving for the unknown variable.
Key Concept Explanation
Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other, setting the products equal. This transforms the proportion into a simple equation, making it easier to solve for an unknown variable.
Step-by-step Solution
1. Start with the given proportion: .
2. Cross-multiply: .
3. Simplify the right side:
This question tests the student's ability to solve a proportion using cross-multiplication. The problem involves setting up the proportion and then solving for the unknown variable.
Key Concept Explanation
Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other, setting the products equal. This transforms the proportion into a simple equation, making it easier to solve for an unknown variable.
Step-by-step Solution
1. Start with the given proportion: .
2. Cross-multiply: .
3. Simplify the right side:
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