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Finding the Fourth Proportional to 14,691.30, 22,040.60 and 6,891

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Solution

The fourth proportional to 14,691.30, 22,040.60 and 6,891 is: 10,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.30 : 22,040.60 = 6,891 : x
  2. Step 2: Convert to fraction form
    14,691.30/22,040.60 = 6,891/x
  3. Step 3: Cross multiply
    14,691.30x = 22,040.60 × 6,891
  4. Step 4: Simplify right side
    14,691.30x = 151,881,740.15
  5. Step 5: Solve for x
    x = 151,881,740.15/14,691.30
  6. Step 6: Final answer
    x = 10,338.21

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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.