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Finding the Fourth Proportional to 6,604.97, 9,892.91 and 6,241.04

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Solution

The fourth proportional to 6,604.97, 9,892.91 and 6,241.04 is: 9,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.97 : 9,892.91 = 6,241.04 : x
  2. Step 2: Convert to fraction form
    6,604.97/9,892.91 = 6,241.04/x
  3. Step 3: Cross multiply
    6,604.97x = 9,892.91 × 6,241.04
  4. Step 4: Simplify right side
    6,604.97x = 61,741,966.36
  5. Step 5: Solve for x
    x = 61,741,966.36/6,604.97
  6. Step 6: Final answer
    x = 9,347.81

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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.