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Finding the Fourth Proportional to 6,765.66, 10,138.98 and 5,098.68

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Solution

The fourth proportional to 6,765.66, 10,138.98 and 5,098.68 is: 7,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.66 : 10,138.98 = 5,098.68 : x
  2. Step 2: Convert to fraction form
    6,765.66/10,138.98 = 5,098.68/x
  3. Step 3: Cross multiply
    6,765.66x = 10,138.98 × 5,098.68
  4. Step 4: Simplify right side
    6,765.66x = 51,695,414.55
  5. Step 5: Solve for x
    x = 51,695,414.55/6,765.66
  6. Step 6: Final answer
    x = 7,640.85

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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.