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Finding the Fourth Proportional to 11,408.21, 15,742.86 and 6,372.41

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Solution

The fourth proportional to 11,408.21, 15,742.86 and 6,372.41 is: 8,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.21 : 15,742.86 = 6,372.41 : x
  2. Step 2: Convert to fraction form
    11,408.21/15,742.86 = 6,372.41/x
  3. Step 3: Cross multiply
    11,408.21x = 15,742.86 × 6,372.41
  4. Step 4: Simplify right side
    11,408.21x = 100,319,958.49
  5. Step 5: Solve for x
    x = 100,319,958.49/11,408.21
  6. Step 6: Final answer
    x = 8,793.66

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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.