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Finding the Fourth Proportional to 27,726.83, 41,584.13 and 8,001.10

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Solution

The fourth proportional to 27,726.83, 41,584.13 and 8,001.10 is: 11,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.83 : 41,584.13 = 8,001.10 : x
  2. Step 2: Convert to fraction form
    27,726.83/41,584.13 = 8,001.10/x
  3. Step 3: Cross multiply
    27,726.83x = 41,584.13 × 8,001.10
  4. Step 4: Simplify right side
    27,726.83x = 332,718,782.54
  5. Step 5: Solve for x
    x = 332,718,782.54/27,726.83
  6. Step 6: Final answer
    x = 11,999.89

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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.