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Finding the Fourth Proportional to 27,906.38, 41,859.90 and 8,185.33

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Solution

The fourth proportional to 27,906.38, 41,859.90 and 8,185.33 is: 12,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.38 : 41,859.90 = 8,185.33 : x
  2. Step 2: Convert to fraction form
    27,906.38/41,859.90 = 8,185.33/x
  3. Step 3: Cross multiply
    27,906.38x = 41,859.90 × 8,185.33
  4. Step 4: Simplify right side
    27,906.38x = 342,637,054.34
  5. Step 5: Solve for x
    x = 342,637,054.34/27,906.38
  6. Step 6: Final answer
    x = 12,278.09

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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.