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Finding the Fourth Proportional to 6,314.60, 8,711.22 and 3,761.24

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Solution

The fourth proportional to 6,314.60, 8,711.22 and 3,761.24 is: 5,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.60 : 8,711.22 = 3,761.24 : x
  2. Step 2: Convert to fraction form
    6,314.60/8,711.22 = 3,761.24/x
  3. Step 3: Cross multiply
    6,314.60x = 8,711.22 × 3,761.24
  4. Step 4: Simplify right side
    6,314.60x = 32,764,989.11
  5. Step 5: Solve for x
    x = 32,764,989.11/6,314.60
  6. Step 6: Final answer
    x = 5,188.77

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1.5x scale

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.