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Finding the Fourth Proportional to 8,234.80, 12,327.90 and 5,464.60

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Solution

The fourth proportional to 8,234.80, 12,327.90 and 5,464.60 is: 8,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.80 : 12,327.90 = 5,464.60 : x
  2. Step 2: Convert to fraction form
    8,234.80/12,327.90 = 5,464.60/x
  3. Step 3: Cross multiply
    8,234.80x = 12,327.90 × 5,464.60
  4. Step 4: Simplify right side
    8,234.80x = 67,367,042.34
  5. Step 5: Solve for x
    x = 67,367,042.34/8,234.80
  6. Step 6: Final answer
    x = 8,180.77

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1.5x scale

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.