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Finding the Fourth Proportional to 27,997.50, 41,996.25 and 11,581.50

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Solution

The fourth proportional to 27,997.50, 41,996.25 and 11,581.50 is: 17,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.50 : 41,996.25 = 11,581.50 : x
  2. Step 2: Convert to fraction form
    27,997.50/41,996.25 = 11,581.50/x
  3. Step 3: Cross multiply
    27,997.50x = 41,996.25 × 11,581.50
  4. Step 4: Simplify right side
    27,997.50x = 486,379,569.38
  5. Step 5: Solve for x
    x = 486,379,569.38/27,997.50
  6. Step 6: Final answer
    x = 17,372.25

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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.