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Finding the Fourth Proportional to 10,984.64, 16,481.16 and 4,412.70

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Solution

The fourth proportional to 10,984.64, 16,481.16 and 4,412.70 is: 6,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.64 : 16,481.16 = 4,412.70 : x
  2. Step 2: Convert to fraction form
    10,984.64/16,481.16 = 4,412.70/x
  3. Step 3: Cross multiply
    10,984.64x = 16,481.16 × 4,412.70
  4. Step 4: Simplify right side
    10,984.64x = 72,726,414.73
  5. Step 5: Solve for x
    x = 72,726,414.73/10,984.64
  6. Step 6: Final answer
    x = 6,620.74

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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.