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Finding the Fourth Proportional to 6,631, 9,150.82 and 3,647.04

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Solution

The fourth proportional to 6,631, 9,150.82 and 3,647.04 is: 5,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631 : 9,150.82 = 3,647.04 : x
  2. Step 2: Convert to fraction form
    6,631/9,150.82 = 3,647.04/x
  3. Step 3: Cross multiply
    6,631x = 9,150.82 × 3,647.04
  4. Step 4: Simplify right side
    6,631x = 33,373,406.57
  5. Step 5: Solve for x
    x = 33,373,406.57/6,631
  6. Step 6: Final answer
    x = 5,032.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.