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Finding the Fourth Proportional to 27,802.44, 41,704.44 and 9,083.64

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Solution

The fourth proportional to 27,802.44, 41,704.44 and 9,083.64 is: 13,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.44 : 41,704.44 = 9,083.64 : x
  2. Step 2: Convert to fraction form
    27,802.44/41,704.44 = 9,083.64/x
  3. Step 3: Cross multiply
    27,802.44x = 41,704.44 × 9,083.64
  4. Step 4: Simplify right side
    27,802.44x = 378,828,119.36
  5. Step 5: Solve for x
    x = 378,828,119.36/27,802.44
  6. Step 6: Final answer
    x = 13,625.71

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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.