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Finding the Fourth Proportional to 7,999.92, 11,997.42 and 3,837.72

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Solution

The fourth proportional to 7,999.92, 11,997.42 and 3,837.72 is: 5,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.92 : 11,997.42 = 3,837.72 : x
  2. Step 2: Convert to fraction form
    7,999.92/11,997.42 = 3,837.72/x
  3. Step 3: Cross multiply
    7,999.92x = 11,997.42 × 3,837.72
  4. Step 4: Simplify right side
    7,999.92x = 46,042,738.68
  5. Step 5: Solve for x
    x = 46,042,738.68/7,999.92
  6. Step 6: Final answer
    x = 5,755.40

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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.