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Finding the Fourth Proportional to 10,532.14, 15,801.14 and 4,607.97

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Solution

The fourth proportional to 10,532.14, 15,801.14 and 4,607.97 is: 6,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.14 : 15,801.14 = 4,607.97 : x
  2. Step 2: Convert to fraction form
    10,532.14/15,801.14 = 4,607.97/x
  3. Step 3: Cross multiply
    10,532.14x = 15,801.14 × 4,607.97
  4. Step 4: Simplify right side
    10,532.14x = 72,811,179.09
  5. Step 5: Solve for x
    x = 72,811,179.09/10,532.14
  6. Step 6: Final answer
    x = 6,913.24

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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.