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Finding the Fourth Proportional to 10,627.38, 14,664.88 and 6,151.41

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Solution

The fourth proportional to 10,627.38, 14,664.88 and 6,151.41 is: 8,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.38 : 14,664.88 = 6,151.41 : x
  2. Step 2: Convert to fraction form
    10,627.38/14,664.88 = 6,151.41/x
  3. Step 3: Cross multiply
    10,627.38x = 14,664.88 × 6,151.41
  4. Step 4: Simplify right side
    10,627.38x = 90,209,689.48
  5. Step 5: Solve for x
    x = 90,209,689.48/10,627.38
  6. Step 6: Final answer
    x = 8,488.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.