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Finding the Fourth Proportional to 6,504.01, 9,757.57 and 2,121.47

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Solution

The fourth proportional to 6,504.01, 9,757.57 and 2,121.47 is: 3,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.01 : 9,757.57 = 2,121.47 : x
  2. Step 2: Convert to fraction form
    6,504.01/9,757.57 = 2,121.47/x
  3. Step 3: Cross multiply
    6,504.01x = 9,757.57 × 2,121.47
  4. Step 4: Simplify right side
    6,504.01x = 20,700,411.12
  5. Step 5: Solve for x
    x = 20,700,411.12/6,504.01
  6. Step 6: Final answer
    x = 3,182.72

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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.