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Finding the Fourth Proportional to 6,574.75, 9,863.24 and 2,876.89

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Solution

The fourth proportional to 6,574.75, 9,863.24 and 2,876.89 is: 4,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.75 : 9,863.24 = 2,876.89 : x
  2. Step 2: Convert to fraction form
    6,574.75/9,863.24 = 2,876.89/x
  3. Step 3: Cross multiply
    6,574.75x = 9,863.24 × 2,876.89
  4. Step 4: Simplify right side
    6,574.75x = 28,375,456.52
  5. Step 5: Solve for x
    x = 28,375,456.52/6,574.75
  6. Step 6: Final answer
    x = 4,315.82

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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.