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Finding the Fourth Proportional to 10,142.62, 15,206.10 and 6,437.14

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Solution

The fourth proportional to 10,142.62, 15,206.10 and 6,437.14 is: 9,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.62 : 15,206.10 = 6,437.14 : x
  2. Step 2: Convert to fraction form
    10,142.62/15,206.10 = 6,437.14/x
  3. Step 3: Cross multiply
    10,142.62x = 15,206.10 × 6,437.14
  4. Step 4: Simplify right side
    10,142.62x = 97,883,794.55
  5. Step 5: Solve for x
    x = 97,883,794.55/10,142.62
  6. Step 6: Final answer
    x = 9,650.74

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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.