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Finding the Fourth Proportional to 11,124.54, 16,671.42 and 6,196.50

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Solution

The fourth proportional to 11,124.54, 16,671.42 and 6,196.50 is: 9,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.54 : 16,671.42 = 6,196.50 : x
  2. Step 2: Convert to fraction form
    11,124.54/16,671.42 = 6,196.50/x
  3. Step 3: Cross multiply
    11,124.54x = 16,671.42 × 6,196.50
  4. Step 4: Simplify right side
    11,124.54x = 103,304,454.03
  5. Step 5: Solve for x
    x = 103,304,454.03/11,124.54
  6. Step 6: Final answer
    x = 9,286.18

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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.