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Finding the Fourth Proportional to 6,571.10, 9,863.67 and 3,648.62

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Solution

The fourth proportional to 6,571.10, 9,863.67 and 3,648.62 is: 5,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.10 : 9,863.67 = 3,648.62 : x
  2. Step 2: Convert to fraction form
    6,571.10/9,863.67 = 3,648.62/x
  3. Step 3: Cross multiply
    6,571.10x = 9,863.67 × 3,648.62
  4. Step 4: Simplify right side
    6,571.10x = 35,988,783.64
  5. Step 5: Solve for x
    x = 35,988,783.64/6,571.10
  6. Step 6: Final answer
    x = 5,476.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.