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Finding the Fourth Proportional to 27,820.44, 41,733.22 and 9,100.58

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Solution

The fourth proportional to 27,820.44, 41,733.22 and 9,100.58 is: 13,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.44 : 41,733.22 = 9,100.58 : x
  2. Step 2: Convert to fraction form
    27,820.44/41,733.22 = 9,100.58/x
  3. Step 3: Cross multiply
    27,820.44x = 41,733.22 × 9,100.58
  4. Step 4: Simplify right side
    27,820.44x = 379,796,507.27
  5. Step 5: Solve for x
    x = 379,796,507.27/27,820.44
  6. Step 6: Final answer
    x = 13,651.71

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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.