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Finding the Fourth Proportional to 7,649.73, 11,474.60 and 3,949.97

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Solution

The fourth proportional to 7,649.73, 11,474.60 and 3,949.97 is: 5,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.73 : 11,474.60 = 3,949.97 : x
  2. Step 2: Convert to fraction form
    7,649.73/11,474.60 = 3,949.97/x
  3. Step 3: Cross multiply
    7,649.73x = 11,474.60 × 3,949.97
  4. Step 4: Simplify right side
    7,649.73x = 45,324,248.64
  5. Step 5: Solve for x
    x = 45,324,248.64/7,649.73
  6. Step 6: Final answer
    x = 5,924.95

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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.