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Finding the Fourth Proportional to 6,574.73, 9,861.69 and 2,876.54

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Solution

The fourth proportional to 6,574.73, 9,861.69 and 2,876.54 is: 4,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.73 : 9,861.69 = 2,876.54 : x
  2. Step 2: Convert to fraction form
    6,574.73/9,861.69 = 2,876.54/x
  3. Step 3: Cross multiply
    6,574.73x = 9,861.69 × 2,876.54
  4. Step 4: Simplify right side
    6,574.73x = 28,367,545.75
  5. Step 5: Solve for x
    x = 28,367,545.75/6,574.73
  6. Step 6: Final answer
    x = 4,314.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.