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Finding the Fourth Proportional to 27,471.20, 41,217.60 and 10,828.40

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Solution

The fourth proportional to 27,471.20, 41,217.60 and 10,828.40 is: 16,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.20 : 41,217.60 = 10,828.40 : x
  2. Step 2: Convert to fraction form
    27,471.20/41,217.60 = 10,828.40/x
  3. Step 3: Cross multiply
    27,471.20x = 41,217.60 × 10,828.40
  4. Step 4: Simplify right side
    27,471.20x = 446,320,659.84
  5. Step 5: Solve for x
    x = 446,320,659.84/27,471.20
  6. Step 6: Final answer
    x = 16,246.86

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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.