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Finding the Fourth Proportional to 6,348.47, 8,761.95 and 3,697.45

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Solution

The fourth proportional to 6,348.47, 8,761.95 and 3,697.45 is: 5,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.47 : 8,761.95 = 3,697.45 : x
  2. Step 2: Convert to fraction form
    6,348.47/8,761.95 = 3,697.45/x
  3. Step 3: Cross multiply
    6,348.47x = 8,761.95 × 3,697.45
  4. Step 4: Simplify right side
    6,348.47x = 32,396,850.12
  5. Step 5: Solve for x
    x = 32,396,850.12/6,348.47
  6. Step 6: Final answer
    x = 5,103.10

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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.