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Finding the Fourth Proportional to 27,922.73, 41,883.75 and 8,200.58

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Solution

The fourth proportional to 27,922.73, 41,883.75 and 8,200.58 is: 12,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.73 : 41,883.75 = 8,200.58 : x
  2. Step 2: Convert to fraction form
    27,922.73/41,883.75 = 8,200.58/x
  3. Step 3: Cross multiply
    27,922.73x = 41,883.75 × 8,200.58
  4. Step 4: Simplify right side
    27,922.73x = 343,470,833.16
  5. Step 5: Solve for x
    x = 343,470,833.16/27,922.73
  6. Step 6: Final answer
    x = 12,300.76

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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.