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Finding the Fourth Proportional to 6,352.86, 8,764.01 and 4,115.46

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Solution

The fourth proportional to 6,352.86, 8,764.01 and 4,115.46 is: 5,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.86 : 8,764.01 = 4,115.46 : x
  2. Step 2: Convert to fraction form
    6,352.86/8,764.01 = 4,115.46/x
  3. Step 3: Cross multiply
    6,352.86x = 8,764.01 × 4,115.46
  4. Step 4: Simplify right side
    6,352.86x = 36,067,912.02
  5. Step 5: Solve for x
    x = 36,067,912.02/6,352.86
  6. Step 6: Final answer
    x = 5,677.43

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Half scale
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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.