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Finding the Fourth Proportional to 6,574.24, 9,861.09 and 3,650.68

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Solution

The fourth proportional to 6,574.24, 9,861.09 and 3,650.68 is: 5,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.24 : 9,861.09 = 3,650.68 : x
  2. Step 2: Convert to fraction form
    6,574.24/9,861.09 = 3,650.68/x
  3. Step 3: Cross multiply
    6,574.24x = 9,861.09 × 3,650.68
  4. Step 4: Simplify right side
    6,574.24x = 35,999,684.04
  5. Step 5: Solve for x
    x = 35,999,684.04/6,574.24
  6. Step 6: Final answer
    x = 5,475.87

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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.