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Finding the Fourth Proportional to 10,494.52, 15,742.60 and 4,251.58

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Solution

The fourth proportional to 10,494.52, 15,742.60 and 4,251.58 is: 6,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.52 : 15,742.60 = 4,251.58 : x
  2. Step 2: Convert to fraction form
    10,494.52/15,742.60 = 4,251.58/x
  3. Step 3: Cross multiply
    10,494.52x = 15,742.60 × 4,251.58
  4. Step 4: Simplify right side
    10,494.52x = 66,930,923.31
  5. Step 5: Solve for x
    x = 66,930,923.31/10,494.52
  6. Step 6: Final answer
    x = 6,377.70

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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.