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Finding the Fourth Proportional to 8,761.76, 13,146.24 and 6,914.96

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Solution

The fourth proportional to 8,761.76, 13,146.24 and 6,914.96 is: 10,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.76 : 13,146.24 = 6,914.96 : x
  2. Step 2: Convert to fraction form
    8,761.76/13,146.24 = 6,914.96/x
  3. Step 3: Cross multiply
    8,761.76x = 13,146.24 × 6,914.96
  4. Step 4: Simplify right side
    8,761.76x = 90,905,723.75
  5. Step 5: Solve for x
    x = 90,905,723.75/8,761.76
  6. Step 6: Final answer
    x = 10,375.28

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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.