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Finding the Fourth Proportional to 6,494.76, 9,736.92 and 2,332.44

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Solution

The fourth proportional to 6,494.76, 9,736.92 and 2,332.44 is: 3,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.76 : 9,736.92 = 2,332.44 : x
  2. Step 2: Convert to fraction form
    6,494.76/9,736.92 = 2,332.44/x
  3. Step 3: Cross multiply
    6,494.76x = 9,736.92 × 2,332.44
  4. Step 4: Simplify right side
    6,494.76x = 22,710,781.68
  5. Step 5: Solve for x
    x = 22,710,781.68/6,494.76
  6. Step 6: Final answer
    x = 3,496.79

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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.