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Finding the Fourth Proportional to 6,876.62, 10,314.42 and 2,196.44

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Solution

The fourth proportional to 6,876.62, 10,314.42 and 2,196.44 is: 3,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.62 : 10,314.42 = 2,196.44 : x
  2. Step 2: Convert to fraction form
    6,876.62/10,314.42 = 2,196.44/x
  3. Step 3: Cross multiply
    6,876.62x = 10,314.42 × 2,196.44
  4. Step 4: Simplify right side
    6,876.62x = 22,655,004.66
  5. Step 5: Solve for x
    x = 22,655,004.66/6,876.62
  6. Step 6: Final answer
    x = 3,294.50

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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.