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Finding the Fourth Proportional to 10,171.60, 15,233.10 and 8,227.60

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Solution

The fourth proportional to 10,171.60, 15,233.10 and 8,227.60 is: 12,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.60 : 15,233.10 = 8,227.60 : x
  2. Step 2: Convert to fraction form
    10,171.60/15,233.10 = 8,227.60/x
  3. Step 3: Cross multiply
    10,171.60x = 15,233.10 × 8,227.60
  4. Step 4: Simplify right side
    10,171.60x = 125,331,853.56
  5. Step 5: Solve for x
    x = 125,331,853.56/10,171.60
  6. Step 6: Final answer
    x = 12,321.74

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1.5x scale

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.