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Finding the Fourth Proportional to 9,691.92, 13,368.49 and 5,710.23

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Solution

The fourth proportional to 9,691.92, 13,368.49 and 5,710.23 is: 7,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.92 : 13,368.49 = 5,710.23 : x
  2. Step 2: Convert to fraction form
    9,691.92/13,368.49 = 5,710.23/x
  3. Step 3: Cross multiply
    9,691.92x = 13,368.49 × 5,710.23
  4. Step 4: Simplify right side
    9,691.92x = 76,337,138.38
  5. Step 5: Solve for x
    x = 76,337,138.38/9,691.92
  6. Step 6: Final answer
    x = 7,876.37

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Half scale
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Double scale
Find fourth proportional to 9,692.92, 13,369.87 and 5,711.23
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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.