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Finding the Fourth Proportional to 22,939, 34,414.28 and 6,523

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Solution

The fourth proportional to 22,939, 34,414.28 and 6,523 is: 9,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939 : 34,414.28 = 6,523 : x
  2. Step 2: Convert to fraction form
    22,939/34,414.28 = 6,523/x
  3. Step 3: Cross multiply
    22,939x = 34,414.28 × 6,523
  4. Step 4: Simplify right side
    22,939x = 224,484,348.44
  5. Step 5: Solve for x
    x = 224,484,348.44/22,939
  6. Step 6: Final answer
    x = 9,786.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.