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Finding the Fourth Proportional to 17,758, 26,637.48 and 5,446

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Solution

The fourth proportional to 17,758, 26,637.48 and 5,446 is: 8,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758 : 26,637.48 = 5,446 : x
  2. Step 2: Convert to fraction form
    17,758/26,637.48 = 5,446/x
  3. Step 3: Cross multiply
    17,758x = 26,637.48 × 5,446
  4. Step 4: Simplify right side
    17,758x = 145,067,716.08
  5. Step 5: Solve for x
    x = 145,067,716.08/17,758
  6. Step 6: Final answer
    x = 8,169.15

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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.