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Finding the Fourth Proportional to 8,157.96, 12,230.19 and 6,767.46

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Solution

The fourth proportional to 8,157.96, 12,230.19 and 6,767.46 is: 10,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.96 : 12,230.19 = 6,767.46 : x
  2. Step 2: Convert to fraction form
    8,157.96/12,230.19 = 6,767.46/x
  3. Step 3: Cross multiply
    8,157.96x = 12,230.19 × 6,767.46
  4. Step 4: Simplify right side
    8,157.96x = 82,767,321.62
  5. Step 5: Solve for x
    x = 82,767,321.62/8,157.96
  6. Step 6: Final answer
    x = 10,145.59

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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.