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Finding the Fourth Proportional to 7,874.78, 10,863.77 and 4,516.85

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Solution

The fourth proportional to 7,874.78, 10,863.77 and 4,516.85 is: 6,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.78 : 10,863.77 = 4,516.85 : x
  2. Step 2: Convert to fraction form
    7,874.78/10,863.77 = 4,516.85/x
  3. Step 3: Cross multiply
    7,874.78x = 10,863.77 × 4,516.85
  4. Step 4: Simplify right side
    7,874.78x = 49,069,942.62
  5. Step 5: Solve for x
    x = 49,069,942.62/7,874.78
  6. Step 6: Final answer
    x = 6,231.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.