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Finding the Fourth Proportional to 8,000.10, 11,998.65 and 6,449.16

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Solution

The fourth proportional to 8,000.10, 11,998.65 and 6,449.16 is: 9,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.10 : 11,998.65 = 6,449.16 : x
  2. Step 2: Convert to fraction form
    8,000.10/11,998.65 = 6,449.16/x
  3. Step 3: Cross multiply
    8,000.10x = 11,998.65 × 6,449.16
  4. Step 4: Simplify right side
    8,000.10x = 77,381,213.63
  5. Step 5: Solve for x
    x = 77,381,213.63/8,000.10
  6. Step 6: Final answer
    x = 9,672.53

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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.