Questions: x/k = w/v, for x

x/k = w/v, for x
Transcript text: $\frac{x}{k}=\frac{w}{v}$, for $x$
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Solution

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Solution Steps

To solve for \( x \) in the equation \(\frac{x}{k} = \frac{w}{v}\), we can use cross-multiplication. This involves multiplying both sides of the equation by \( k \) to isolate \( x \).

Step 1: Given Equation

We start with the given equation: \[ \frac{x}{k} = \frac{w}{v} \]

Step 2: Cross-Multiplication

To isolate \( x \), we use cross-multiplication: \[ x = \frac{w}{v} \cdot k \]

Step 3: Substitute Given Values

Substitute the given values \( k = 1 \), \( w = 2 \), and \( v = 3 \) into the equation: \[ x = \frac{2}{3} \cdot 1 \]

Step 4: Simplify the Expression

Simplify the expression to find \( x \): \[ x = \frac{2}{3} \approx 0.6667 \]

Final Answer

\(\boxed{x = \frac{2}{3}}\)

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