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Finding the Fourth Proportional to 27,906.99, 41,866.65 and 9,192.84

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Solution

The fourth proportional to 27,906.99, 41,866.65 and 9,192.84 is: 13,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.99 : 41,866.65 = 9,192.84 : x
  2. Step 2: Convert to fraction form
    27,906.99/41,866.65 = 9,192.84/x
  3. Step 3: Cross multiply
    27,906.99x = 41,866.65 × 9,192.84
  4. Step 4: Simplify right side
    27,906.99x = 384,873,414.79
  5. Step 5: Solve for x
    x = 384,873,414.79/27,906.99
  6. Step 6: Final answer
    x = 13,791.29

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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.