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Finding the Fourth Proportional to 26,562.78, 39,849.42 and 7,843.14

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Solution

The fourth proportional to 26,562.78, 39,849.42 and 7,843.14 is: 11,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,562.78 : 39,849.42 = 7,843.14 : x
  2. Step 2: Convert to fraction form
    26,562.78/39,849.42 = 7,843.14/x
  3. Step 3: Cross multiply
    26,562.78x = 39,849.42 × 7,843.14
  4. Step 4: Simplify right side
    26,562.78x = 312,544,579.98
  5. Step 5: Solve for x
    x = 312,544,579.98/26,562.78
  6. Step 6: Final answer
    x = 11,766.26

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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.