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Finding the Fourth Proportional to 10,978.20, 15,147 and 6,262.38

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Solution

The fourth proportional to 10,978.20, 15,147 and 6,262.38 is: 8,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.20 : 15,147 = 6,262.38 : x
  2. Step 2: Convert to fraction form
    10,978.20/15,147 = 6,262.38/x
  3. Step 3: Cross multiply
    10,978.20x = 15,147 × 6,262.38
  4. Step 4: Simplify right side
    10,978.20x = 94,856,269.86
  5. Step 5: Solve for x
    x = 94,856,269.86/10,978.20
  6. Step 6: Final answer
    x = 8,640.42

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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.