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Finding the Fourth Proportional to 18,249.78, 27,378.77 and 6,563

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Solution

The fourth proportional to 18,249.78, 27,378.77 and 6,563 is: 9,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,249.78 : 27,378.77 = 6,563 : x
  2. Step 2: Convert to fraction form
    18,249.78/27,378.77 = 6,563/x
  3. Step 3: Cross multiply
    18,249.78x = 27,378.77 × 6,563
  4. Step 4: Simplify right side
    18,249.78x = 179,686,867.51
  5. Step 5: Solve for x
    x = 179,686,867.51/18,249.78
  6. Step 6: Final answer
    x = 9,845.97

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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.