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Finding the Fourth Proportional to 6,819.69, 10,229.22 and 2,138.97

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Solution

The fourth proportional to 6,819.69, 10,229.22 and 2,138.97 is: 3,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.69 : 10,229.22 = 2,138.97 : x
  2. Step 2: Convert to fraction form
    6,819.69/10,229.22 = 2,138.97/x
  3. Step 3: Cross multiply
    6,819.69x = 10,229.22 × 2,138.97
  4. Step 4: Simplify right side
    6,819.69x = 21,880,033.06
  5. Step 5: Solve for x
    x = 21,880,033.06/6,819.69
  6. Step 6: Final answer
    x = 3,208.36

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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.