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Finding the Fourth Proportional to 6,589.98, 9,885.63 and 2,207.76

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Solution

The fourth proportional to 6,589.98, 9,885.63 and 2,207.76 is: 3,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.98 : 9,885.63 = 2,207.76 : x
  2. Step 2: Convert to fraction form
    6,589.98/9,885.63 = 2,207.76/x
  3. Step 3: Cross multiply
    6,589.98x = 9,885.63 × 2,207.76
  4. Step 4: Simplify right side
    6,589.98x = 21,825,098.49
  5. Step 5: Solve for x
    x = 21,825,098.49/6,589.98
  6. Step 6: Final answer
    x = 3,311.86

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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.