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Finding the Fourth Proportional to 6,601, 9,889.14 and 3,310.24

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Solution

The fourth proportional to 6,601, 9,889.14 and 3,310.24 is: 4,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601 : 9,889.14 = 3,310.24 : x
  2. Step 2: Convert to fraction form
    6,601/9,889.14 = 3,310.24/x
  3. Step 3: Cross multiply
    6,601x = 9,889.14 × 3,310.24
  4. Step 4: Simplify right side
    6,601x = 32,735,426.79
  5. Step 5: Solve for x
    x = 32,735,426.79/6,601
  6. Step 6: Final answer
    x = 4,959.16

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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.