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Finding the Fourth Proportional to 11,098.54, 16,648.94 and 3,701

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Solution

The fourth proportional to 11,098.54, 16,648.94 and 3,701 is: 5,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.54 : 16,648.94 = 3,701 : x
  2. Step 2: Convert to fraction form
    11,098.54/16,648.94 = 3,701/x
  3. Step 3: Cross multiply
    11,098.54x = 16,648.94 × 3,701
  4. Step 4: Simplify right side
    11,098.54x = 61,617,726.94
  5. Step 5: Solve for x
    x = 61,617,726.94/11,098.54
  6. Step 6: Final answer
    x = 5,551.88

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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.