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Finding the Fourth Proportional to 27,566.31, 41,351.03 and 7,843.32

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Solution

The fourth proportional to 27,566.31, 41,351.03 and 7,843.32 is: 11,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566.31 : 41,351.03 = 7,843.32 : x
  2. Step 2: Convert to fraction form
    27,566.31/41,351.03 = 7,843.32/x
  3. Step 3: Cross multiply
    27,566.31x = 41,351.03 × 7,843.32
  4. Step 4: Simplify right side
    27,566.31x = 324,329,321.40
  5. Step 5: Solve for x
    x = 324,329,321.40/27,566.31
  6. Step 6: Final answer
    x = 11,765.42

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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.