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Finding the Fourth Proportional to 18,573.92, 27,868.17 and 8,178.38

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Solution

The fourth proportional to 18,573.92, 27,868.17 and 8,178.38 is: 12,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,573.92 : 27,868.17 = 8,178.38 : x
  2. Step 2: Convert to fraction form
    18,573.92/27,868.17 = 8,178.38/x
  3. Step 3: Cross multiply
    18,573.92x = 27,868.17 × 8,178.38
  4. Step 4: Simplify right side
    18,573.92x = 227,916,344.82
  5. Step 5: Solve for x
    x = 227,916,344.82/18,573.92
  6. Step 6: Final answer
    x = 12,270.78

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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.