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Finding the Fourth Proportional to 10,687.60, 16,031.40 and 4,024

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Solution

The fourth proportional to 10,687.60, 16,031.40 and 4,024 is: 6,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.60 : 16,031.40 = 4,024 : x
  2. Step 2: Convert to fraction form
    10,687.60/16,031.40 = 4,024/x
  3. Step 3: Cross multiply
    10,687.60x = 16,031.40 × 4,024
  4. Step 4: Simplify right side
    10,687.60x = 64,510,353.60
  5. Step 5: Solve for x
    x = 64,510,353.60/10,687.60
  6. Step 6: Final answer
    x = 6,036

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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.