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Finding the Fourth Proportional to 7,177.61, 9,905.22 and 3,947.57

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Solution

The fourth proportional to 7,177.61, 9,905.22 and 3,947.57 is: 5,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.61 : 9,905.22 = 3,947.57 : x
  2. Step 2: Convert to fraction form
    7,177.61/9,905.22 = 3,947.57/x
  3. Step 3: Cross multiply
    7,177.61x = 9,905.22 × 3,947.57
  4. Step 4: Simplify right side
    7,177.61x = 39,101,499.79
  5. Step 5: Solve for x
    x = 39,101,499.79/7,177.61
  6. Step 6: Final answer
    x = 5,447.71

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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.