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Finding the Fourth Proportional to 11,408.54, 15,743.70 and 6,372.70

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Solution

The fourth proportional to 11,408.54, 15,743.70 and 6,372.70 is: 8,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.54 : 15,743.70 = 6,372.70 : x
  2. Step 2: Convert to fraction form
    11,408.54/15,743.70 = 6,372.70/x
  3. Step 3: Cross multiply
    11,408.54x = 15,743.70 × 6,372.70
  4. Step 4: Simplify right side
    11,408.54x = 100,329,876.99
  5. Step 5: Solve for x
    x = 100,329,876.99/11,408.54
  6. Step 6: Final answer
    x = 8,794.28

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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.