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Finding the Fourth Proportional to 27,998.86, 41,997.24 and 6,938.97

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Solution

The fourth proportional to 27,998.86, 41,997.24 and 6,938.97 is: 10,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.86 : 41,997.24 = 6,938.97 : x
  2. Step 2: Convert to fraction form
    27,998.86/41,997.24 = 6,938.97/x
  3. Step 3: Cross multiply
    27,998.86x = 41,997.24 × 6,938.97
  4. Step 4: Simplify right side
    27,998.86x = 291,417,588.44
  5. Step 5: Solve for x
    x = 291,417,588.44/27,998.86
  6. Step 6: Final answer
    x = 10,408.19

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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.