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Finding the Fourth Proportional to 8,183.20, 12,274.80 and 2,027.20

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Solution

The fourth proportional to 8,183.20, 12,274.80 and 2,027.20 is: 3,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.20 : 12,274.80 = 2,027.20 : x
  2. Step 2: Convert to fraction form
    8,183.20/12,274.80 = 2,027.20/x
  3. Step 3: Cross multiply
    8,183.20x = 12,274.80 × 2,027.20
  4. Step 4: Simplify right side
    8,183.20x = 24,883,474.56
  5. Step 5: Solve for x
    x = 24,883,474.56/8,183.20
  6. Step 6: Final answer
    x = 3,040.80

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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.