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Finding the Fourth Proportional to 7,997.83, 11,998.17 and 3,845.37

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Solution

The fourth proportional to 7,997.83, 11,998.17 and 3,845.37 is: 5,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.83 : 11,998.17 = 3,845.37 : x
  2. Step 2: Convert to fraction form
    7,997.83/11,998.17 = 3,845.37/x
  3. Step 3: Cross multiply
    7,997.83x = 11,998.17 × 3,845.37
  4. Step 4: Simplify right side
    7,997.83x = 46,137,402.97
  5. Step 5: Solve for x
    x = 46,137,402.97/7,997.83
  6. Step 6: Final answer
    x = 5,768.74

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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.