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Finding the Fourth Proportional to 6,504.92, 9,757.38 and 1,574.56

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Solution

The fourth proportional to 6,504.92, 9,757.38 and 1,574.56 is: 2,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.92 : 9,757.38 = 1,574.56 : x
  2. Step 2: Convert to fraction form
    6,504.92/9,757.38 = 1,574.56/x
  3. Step 3: Cross multiply
    6,504.92x = 9,757.38 × 1,574.56
  4. Step 4: Simplify right side
    6,504.92x = 15,363,580.25
  5. Step 5: Solve for x
    x = 15,363,580.25/6,504.92
  6. Step 6: Final answer
    x = 2,361.84

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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.