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Finding the Fourth Proportional to 11,408.82, 15,744 and 6,373.12

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Solution

The fourth proportional to 11,408.82, 15,744 and 6,373.12 is: 8,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.82 : 15,744 = 6,373.12 : x
  2. Step 2: Convert to fraction form
    11,408.82/15,744 = 6,373.12/x
  3. Step 3: Cross multiply
    11,408.82x = 15,744 × 6,373.12
  4. Step 4: Simplify right side
    11,408.82x = 100,338,401.28
  5. Step 5: Solve for x
    x = 100,338,401.28/11,408.82
  6. Step 6: Final answer
    x = 8,794.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.