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Finding the Fourth Proportional to 6,593.18, 9,889.77 and 2,696

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Solution

The fourth proportional to 6,593.18, 9,889.77 and 2,696 is: 4,044

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.18 : 9,889.77 = 2,696 : x
  2. Step 2: Convert to fraction form
    6,593.18/9,889.77 = 2,696/x
  3. Step 3: Cross multiply
    6,593.18x = 9,889.77 × 2,696
  4. Step 4: Simplify right side
    6,593.18x = 26,662,819.92
  5. Step 5: Solve for x
    x = 26,662,819.92/6,593.18
  6. Step 6: Final answer
    x = 4,044

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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.