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Finding the Fourth Proportional to 6,414.62, 8,851.93 and 4,025.87

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Solution

The fourth proportional to 6,414.62, 8,851.93 and 4,025.87 is: 5,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.62 : 8,851.93 = 4,025.87 : x
  2. Step 2: Convert to fraction form
    6,414.62/8,851.93 = 4,025.87/x
  3. Step 3: Cross multiply
    6,414.62x = 8,851.93 × 4,025.87
  4. Step 4: Simplify right side
    6,414.62x = 35,636,698.30
  5. Step 5: Solve for x
    x = 35,636,698.30/6,414.62
  6. Step 6: Final answer
    x = 5,555.54

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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.