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Finding the Fourth Proportional to 9,668.28, 13,369.08 and 7,675.38

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Solution

The fourth proportional to 9,668.28, 13,369.08 and 7,675.38 is: 10,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.28 : 13,369.08 = 7,675.38 : x
  2. Step 2: Convert to fraction form
    9,668.28/13,369.08 = 7,675.38/x
  3. Step 3: Cross multiply
    9,668.28x = 13,369.08 × 7,675.38
  4. Step 4: Simplify right side
    9,668.28x = 102,612,769.25
  5. Step 5: Solve for x
    x = 102,612,769.25/9,668.28
  6. Step 6: Final answer
    x = 10,613.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.