Home / 6,824.82-10,238.77-3,537.14

Finding the Fourth Proportional to 6,824.82, 10,238.77 and 3,537.14

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Solution

The fourth proportional to 6,824.82, 10,238.77 and 3,537.14 is: 5,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.82 : 10,238.77 = 3,537.14 : x
  2. Step 2: Convert to fraction form
    6,824.82/10,238.77 = 3,537.14/x
  3. Step 3: Cross multiply
    6,824.82x = 10,238.77 × 3,537.14
  4. Step 4: Simplify right side
    6,824.82x = 36,215,987.61
  5. Step 5: Solve for x
    x = 36,215,987.61/6,824.82
  6. Step 6: Final answer
    x = 5,306.51

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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.