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Finding the Fourth Proportional to 27,562.68, 41,337.80 and 7,840.80

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Solution

The fourth proportional to 27,562.68, 41,337.80 and 7,840.80 is: 11,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.68 : 41,337.80 = 7,840.80 : x
  2. Step 2: Convert to fraction form
    27,562.68/41,337.80 = 7,840.80/x
  3. Step 3: Cross multiply
    27,562.68x = 41,337.80 × 7,840.80
  4. Step 4: Simplify right side
    27,562.68x = 324,121,422.24
  5. Step 5: Solve for x
    x = 324,121,422.24/27,562.68
  6. Step 6: Final answer
    x = 11,759.43

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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.