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Finding the Fourth Proportional to 6,500.97, 9,707.60 and 6,432.30

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Solution

The fourth proportional to 6,500.97, 9,707.60 and 6,432.30 is: 9,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.97 : 9,707.60 = 6,432.30 : x
  2. Step 2: Convert to fraction form
    6,500.97/9,707.60 = 6,432.30/x
  3. Step 3: Cross multiply
    6,500.97x = 9,707.60 × 6,432.30
  4. Step 4: Simplify right side
    6,500.97x = 62,442,163.32
  5. Step 5: Solve for x
    x = 62,442,163.32/6,500.97
  6. Step 6: Final answer
    x = 9,605.05

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.