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Finding the Fourth Proportional to 6,576.57, 9,861.24 and 4,498.92

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Solution

The fourth proportional to 6,576.57, 9,861.24 and 4,498.92 is: 6,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.57 : 9,861.24 = 4,498.92 : x
  2. Step 2: Convert to fraction form
    6,576.57/9,861.24 = 4,498.92/x
  3. Step 3: Cross multiply
    6,576.57x = 9,861.24 × 4,498.92
  4. Step 4: Simplify right side
    6,576.57x = 44,364,929.86
  5. Step 5: Solve for x
    x = 44,364,929.86/6,576.57
  6. Step 6: Final answer
    x = 6,745.91

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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.