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Finding the Fourth Proportional to 6,504.74, 9,753.16 and 2,551.26

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Solution

The fourth proportional to 6,504.74, 9,753.16 and 2,551.26 is: 3,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.74 : 9,753.16 = 2,551.26 : x
  2. Step 2: Convert to fraction form
    6,504.74/9,753.16 = 2,551.26/x
  3. Step 3: Cross multiply
    6,504.74x = 9,753.16 × 2,551.26
  4. Step 4: Simplify right side
    6,504.74x = 24,882,834.23
  5. Step 5: Solve for x
    x = 24,882,834.23/6,504.74
  6. Step 6: Final answer
    x = 3,825.34

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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.