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Finding the Fourth Proportional to 6,625.09, 9,935.82 and 2,241.64

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Solution

The fourth proportional to 6,625.09, 9,935.82 and 2,241.64 is: 3,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.09 : 9,935.82 = 2,241.64 : x
  2. Step 2: Convert to fraction form
    6,625.09/9,935.82 = 2,241.64/x
  3. Step 3: Cross multiply
    6,625.09x = 9,935.82 × 2,241.64
  4. Step 4: Simplify right side
    6,625.09x = 22,272,531.54
  5. Step 5: Solve for x
    x = 22,272,531.54/6,625.09
  6. Step 6: Final answer
    x = 3,361.85

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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.