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Finding the Fourth Proportional to 27,993.82, 41,997.95 and 10,463.78

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Solution

The fourth proportional to 27,993.82, 41,997.95 and 10,463.78 is: 15,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.82 : 41,997.95 = 10,463.78 : x
  2. Step 2: Convert to fraction form
    27,993.82/41,997.95 = 10,463.78/x
  3. Step 3: Cross multiply
    27,993.82x = 41,997.95 × 10,463.78
  4. Step 4: Simplify right side
    27,993.82x = 439,457,309.25
  5. Step 5: Solve for x
    x = 439,457,309.25/27,993.82
  6. Step 6: Final answer
    x = 15,698.37

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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.