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Finding the Fourth Proportional to 6,788.67, 10,184.21 and 2,408.67

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Solution

The fourth proportional to 6,788.67, 10,184.21 and 2,408.67 is: 3,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.67 : 10,184.21 = 2,408.67 : x
  2. Step 2: Convert to fraction form
    6,788.67/10,184.21 = 2,408.67/x
  3. Step 3: Cross multiply
    6,788.67x = 10,184.21 × 2,408.67
  4. Step 4: Simplify right side
    6,788.67x = 24,530,389.06
  5. Step 5: Solve for x
    x = 24,530,389.06/6,788.67
  6. Step 6: Final answer
    x = 3,613.43

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1.5x scale

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.