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Finding the Fourth Proportional to 10,874.66, 16,314.10 and 4,634.60

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Solution

The fourth proportional to 10,874.66, 16,314.10 and 4,634.60 is: 6,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.66 : 16,314.10 = 4,634.60 : x
  2. Step 2: Convert to fraction form
    10,874.66/16,314.10 = 4,634.60/x
  3. Step 3: Cross multiply
    10,874.66x = 16,314.10 × 4,634.60
  4. Step 4: Simplify right side
    10,874.66x = 75,609,234.70
  5. Step 5: Solve for x
    x = 75,609,234.70/10,874.66
  6. Step 6: Final answer
    x = 6,952.79

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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.