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Finding the Fourth Proportional to 6,818.39, 9,408.41 and 3,834.11

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Solution

The fourth proportional to 6,818.39, 9,408.41 and 3,834.11 is: 5,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.39 : 9,408.41 = 3,834.11 : x
  2. Step 2: Convert to fraction form
    6,818.39/9,408.41 = 3,834.11/x
  3. Step 3: Cross multiply
    6,818.39x = 9,408.41 × 3,834.11
  4. Step 4: Simplify right side
    6,818.39x = 36,072,859.69
  5. Step 5: Solve for x
    x = 36,072,859.69/6,818.39
  6. Step 6: Final answer
    x = 5,290.52

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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.