solve the following proportion. if necessary, state your solution as an improper fraction.

\\frac{72}{105} = \frac{24}{x}\

$x =$

Question

solve the following proportion. if necessary, state your solution as an improper fraction.

\\frac{72}{105} = \frac{24}{x}\

$x =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Proportions", "Solving Rational Equations" ], "current_concepts": [ "Proportions", "Solving Rational Equations" ] } ## Set up the proportion equation $$ \frac{72}{105} = \frac{24}{x} $$ ## Solve for x using cross-multiplication $$ \begin{aligned} 72 \cdot x &= 24 \cdot 105 \ 72x &= 2520 \ x &= \frac{2520}{72} \end{aligned} $$ ## Simplify the fraction $$ \begin{aligned} x &= \frac{2520 \div 72}{72 \div 72} \ x &= 35 \end{aligned} $$ Solve the following proportion. If necessary, state your solution as an improper fraction. $\frac{72}{105} = \frac{24}{x}$ $x =$ 35 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Proportions" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the proportion equation

Solve for x using cross-multiplication

Simplify the fraction

Answer: