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Finding the Fourth Proportional to 27,657, 41,450.90 and 11,843.62

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Solution

The fourth proportional to 27,657, 41,450.90 and 11,843.62 is: 17,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657 : 41,450.90 = 11,843.62 : x
  2. Step 2: Convert to fraction form
    27,657/41,450.90 = 11,843.62/x
  3. Step 3: Cross multiply
    27,657x = 41,450.90 × 11,843.62
  4. Step 4: Simplify right side
    27,657x = 490,928,708.26
  5. Step 5: Solve for x
    x = 490,928,708.26/27,657
  6. Step 6: Final answer
    x = 17,750.61

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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.