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Finding the Fourth Proportional to 6,397.57, 9,593.45 and 2,697.78

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Solution

The fourth proportional to 6,397.57, 9,593.45 and 2,697.78 is: 4,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.57 : 9,593.45 = 2,697.78 : x
  2. Step 2: Convert to fraction form
    6,397.57/9,593.45 = 2,697.78/x
  3. Step 3: Cross multiply
    6,397.57x = 9,593.45 × 2,697.78
  4. Step 4: Simplify right side
    6,397.57x = 25,881,017.54
  5. Step 5: Solve for x
    x = 25,881,017.54/6,397.57
  6. Step 6: Final answer
    x = 4,045.44

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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.