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Finding the Fourth Proportional to 8,224.60, 12,337.24 and 6,847.65

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Solution

The fourth proportional to 8,224.60, 12,337.24 and 6,847.65 is: 10,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.60 : 12,337.24 = 6,847.65 : x
  2. Step 2: Convert to fraction form
    8,224.60/12,337.24 = 6,847.65/x
  3. Step 3: Cross multiply
    8,224.60x = 12,337.24 × 6,847.65
  4. Step 4: Simplify right side
    8,224.60x = 84,481,060.56
  5. Step 5: Solve for x
    x = 84,481,060.56/8,224.60
  6. Step 6: Final answer
    x = 10,271.75

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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.