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Finding the Fourth Proportional to 18,311.92, 27,468 and 4,460.92

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Solution

The fourth proportional to 18,311.92, 27,468 and 4,460.92 is: 6,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.92 : 27,468 = 4,460.92 : x
  2. Step 2: Convert to fraction form
    18,311.92/27,468 = 4,460.92/x
  3. Step 3: Cross multiply
    18,311.92x = 27,468 × 4,460.92
  4. Step 4: Simplify right side
    18,311.92x = 122,532,550.56
  5. Step 5: Solve for x
    x = 122,532,550.56/18,311.92
  6. Step 6: Final answer
    x = 6,691.41

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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.