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Finding the Fourth Proportional to 6,593.88, 9,892.26 and 2,698.68

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Solution

The fourth proportional to 6,593.88, 9,892.26 and 2,698.68 is: 4,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.88 : 9,892.26 = 2,698.68 : x
  2. Step 2: Convert to fraction form
    6,593.88/9,892.26 = 2,698.68/x
  3. Step 3: Cross multiply
    6,593.88x = 9,892.26 × 2,698.68
  4. Step 4: Simplify right side
    6,593.88x = 26,696,044.22
  5. Step 5: Solve for x
    x = 26,696,044.22/6,593.88
  6. Step 6: Final answer
    x = 4,048.61

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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.