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Finding the Fourth Proportional to 6,466.74, 9,701.01 and 2,082.72

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Solution

The fourth proportional to 6,466.74, 9,701.01 and 2,082.72 is: 3,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.74 : 9,701.01 = 2,082.72 : x
  2. Step 2: Convert to fraction form
    6,466.74/9,701.01 = 2,082.72/x
  3. Step 3: Cross multiply
    6,466.74x = 9,701.01 × 2,082.72
  4. Step 4: Simplify right side
    6,466.74x = 20,204,487.55
  5. Step 5: Solve for x
    x = 20,204,487.55/6,466.74
  6. Step 6: Final answer
    x = 3,124.37

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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.