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Finding the Fourth Proportional to 27,862.74, 41,793.03 and 7,086.78

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Solution

The fourth proportional to 27,862.74, 41,793.03 and 7,086.78 is: 10,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.74 : 41,793.03 = 7,086.78 : x
  2. Step 2: Convert to fraction form
    27,862.74/41,793.03 = 7,086.78/x
  3. Step 3: Cross multiply
    27,862.74x = 41,793.03 × 7,086.78
  4. Step 4: Simplify right side
    27,862.74x = 296,178,009.14
  5. Step 5: Solve for x
    x = 296,178,009.14/27,862.74
  6. Step 6: Final answer
    x = 10,629.90

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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.