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Finding the Fourth Proportional to 6,493.97, 9,738.56 and 2,332.86

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Solution

The fourth proportional to 6,493.97, 9,738.56 and 2,332.86 is: 3,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.97 : 9,738.56 = 2,332.86 : x
  2. Step 2: Convert to fraction form
    6,493.97/9,738.56 = 2,332.86/x
  3. Step 3: Cross multiply
    6,493.97x = 9,738.56 × 2,332.86
  4. Step 4: Simplify right side
    6,493.97x = 22,718,694.17
  5. Step 5: Solve for x
    x = 22,718,694.17/6,493.97
  6. Step 6: Final answer
    x = 3,498.43

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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.