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Finding the Fourth Proportional to 18,644.30, 27,960.52 and 6,162

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Solution

The fourth proportional to 18,644.30, 27,960.52 and 6,162 is: 9,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.30 : 27,960.52 = 6,162 : x
  2. Step 2: Convert to fraction form
    18,644.30/27,960.52 = 6,162/x
  3. Step 3: Cross multiply
    18,644.30x = 27,960.52 × 6,162
  4. Step 4: Simplify right side
    18,644.30x = 172,292,724.24
  5. Step 5: Solve for x
    x = 172,292,724.24/18,644.30
  6. Step 6: Final answer
    x = 9,241.04

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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.