Problem 5: Solve for $x$ in the proportion $ {x}{5} = {9}{15}$See answer

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Problem 5 Solve for x in the proportion x5 915

Question

Problem 5: Solve for $x$ in the proportion $\frac{x}{5} = \frac{9}{15}$

Basic Answer

Ideas for solving the problem：

[This problem can be solved by cross-multiplying.]

Calculation step：

Step 1: Cross-multiply to eliminate the fractions
[Cross-multiplying involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other.]

$$x\cdot 15=5\cdot 9$$

Step 2: Simplify the equation
[Simplify the products on both sides of the equation.]

$$15x=45$$

Step 3: Solve for $x$
[Divide both sides of the equation by 15 to isolate $x$.]

$$x=\frac{45}{15}$$

Step 4: Simplify the fraction
[Simplify the fraction to get the final value of $x$.]

$$x=3$$

Final Answer:

$$x=3$$

Highlights:

[Key points to focus on in the calculation process]

• Cross-multiplying is a method to solve proportions by setting the products of the diagonals equal to each other.
• Simplifying fractions and equations is crucial to finding the correct value of $x$.