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Finding the Fourth Proportional to 18,512.88, 27,766.44 and 6,198

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Solution

The fourth proportional to 18,512.88, 27,766.44 and 6,198 is: 9,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512.88 : 27,766.44 = 6,198 : x
  2. Step 2: Convert to fraction form
    18,512.88/27,766.44 = 6,198/x
  3. Step 3: Cross multiply
    18,512.88x = 27,766.44 × 6,198
  4. Step 4: Simplify right side
    18,512.88x = 172,096,395.12
  5. Step 5: Solve for x
    x = 172,096,395.12/18,512.88
  6. Step 6: Final answer
    x = 9,296.04

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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.