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Finding the Fourth Proportional to 6,414.56, 8,857.10 and 4,920.11

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Solution

The fourth proportional to 6,414.56, 8,857.10 and 4,920.11 is: 6,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.56 : 8,857.10 = 4,920.11 : x
  2. Step 2: Convert to fraction form
    6,414.56/8,857.10 = 4,920.11/x
  3. Step 3: Cross multiply
    6,414.56x = 8,857.10 × 4,920.11
  4. Step 4: Simplify right side
    6,414.56x = 43,577,879.83
  5. Step 5: Solve for x
    x = 43,577,879.83/6,414.56
  6. Step 6: Final answer
    x = 6,793.59

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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.