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Finding the Fourth Proportional to 8,213.92, 12,317.16 and 3,832.63

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Solution

The fourth proportional to 8,213.92, 12,317.16 and 3,832.63 is: 5,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.92 : 12,317.16 = 3,832.63 : x
  2. Step 2: Convert to fraction form
    8,213.92/12,317.16 = 3,832.63/x
  3. Step 3: Cross multiply
    8,213.92x = 12,317.16 × 3,832.63
  4. Step 4: Simplify right side
    8,213.92x = 47,207,116.93
  5. Step 5: Solve for x
    x = 47,207,116.93/8,213.92
  6. Step 6: Final answer
    x = 5,747.21

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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.