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Finding the Fourth Proportional to 10,567, 15,854.24 and 4,949.68

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Solution

The fourth proportional to 10,567, 15,854.24 and 4,949.68 is: 7,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567 : 15,854.24 = 4,949.68 : x
  2. Step 2: Convert to fraction form
    10,567/15,854.24 = 4,949.68/x
  3. Step 3: Cross multiply
    10,567x = 15,854.24 × 4,949.68
  4. Step 4: Simplify right side
    10,567x = 78,473,414.64
  5. Step 5: Solve for x
    x = 78,473,414.64/10,567
  6. Step 6: Final answer
    x = 7,426.27

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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.