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Finding the Fourth Proportional to 7,177.83, 9,906.02 and 3,991.74

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Solution

The fourth proportional to 7,177.83, 9,906.02 and 3,991.74 is: 5,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.83 : 9,906.02 = 3,991.74 : x
  2. Step 2: Convert to fraction form
    7,177.83/9,906.02 = 3,991.74/x
  3. Step 3: Cross multiply
    7,177.83x = 9,906.02 × 3,991.74
  4. Step 4: Simplify right side
    7,177.83x = 39,542,273.46
  5. Step 5: Solve for x
    x = 39,542,273.46/7,177.83
  6. Step 6: Final answer
    x = 5,508.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.