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Finding the Fourth Proportional to 27,859.72, 41,789.68 and 7,083.22

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Solution

The fourth proportional to 27,859.72, 41,789.68 and 7,083.22 is: 10,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.72 : 41,789.68 = 7,083.22 : x
  2. Step 2: Convert to fraction form
    27,859.72/41,789.68 = 7,083.22/x
  3. Step 3: Cross multiply
    27,859.72x = 41,789.68 × 7,083.22
  4. Step 4: Simplify right side
    27,859.72x = 296,005,497.17
  5. Step 5: Solve for x
    x = 296,005,497.17/27,859.72
  6. Step 6: Final answer
    x = 10,624.86

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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.