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Finding the Fourth Proportional to 18,248.78, 27,377.27 and 6,562

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Solution

The fourth proportional to 18,248.78, 27,377.27 and 6,562 is: 9,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,248.78 : 27,377.27 = 6,562 : x
  2. Step 2: Convert to fraction form
    18,248.78/27,377.27 = 6,562/x
  3. Step 3: Cross multiply
    18,248.78x = 27,377.27 × 6,562
  4. Step 4: Simplify right side
    18,248.78x = 179,649,645.74
  5. Step 5: Solve for x
    x = 179,649,645.74/18,248.78
  6. Step 6: Final answer
    x = 9,844.47

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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.