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Finding the Fourth Proportional to 6,593.94, 9,892.40 and 2,211.29

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Solution

The fourth proportional to 6,593.94, 9,892.40 and 2,211.29 is: 3,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.94 : 9,892.40 = 2,211.29 : x
  2. Step 2: Convert to fraction form
    6,593.94/9,892.40 = 2,211.29/x
  3. Step 3: Cross multiply
    6,593.94x = 9,892.40 × 2,211.29
  4. Step 4: Simplify right side
    6,593.94x = 21,874,904.68
  5. Step 5: Solve for x
    x = 21,874,904.68/6,593.94
  6. Step 6: Final answer
    x = 3,317.43

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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.