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Finding the Fourth Proportional to 6,681.59, 10,019.57 and 2,002.27

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Solution

The fourth proportional to 6,681.59, 10,019.57 and 2,002.27 is: 3,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.59 : 10,019.57 = 2,002.27 : x
  2. Step 2: Convert to fraction form
    6,681.59/10,019.57 = 2,002.27/x
  3. Step 3: Cross multiply
    6,681.59x = 10,019.57 × 2,002.27
  4. Step 4: Simplify right side
    6,681.59x = 20,061,873.78
  5. Step 5: Solve for x
    x = 20,061,873.78/6,681.59
  6. Step 6: Final answer
    x = 3,002.56

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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.