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Finding the Fourth Proportional to 15,177.86, 20,945.82 and 8,463.43

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Solution

The fourth proportional to 15,177.86, 20,945.82 and 8,463.43 is: 11,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.86 : 20,945.82 = 8,463.43 : x
  2. Step 2: Convert to fraction form
    15,177.86/20,945.82 = 8,463.43/x
  3. Step 3: Cross multiply
    15,177.86x = 20,945.82 × 8,463.43
  4. Step 4: Simplify right side
    15,177.86x = 177,273,421.46
  5. Step 5: Solve for x
    x = 177,273,421.46/15,177.86
  6. Step 6: Final answer
    x = 11,679.73

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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.