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Finding the Fourth Proportional to 6,817.92, 9,408.90 and 3,834.06

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Solution

The fourth proportional to 6,817.92, 9,408.90 and 3,834.06 is: 5,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.92 : 9,408.90 = 3,834.06 : x
  2. Step 2: Convert to fraction form
    6,817.92/9,408.90 = 3,834.06/x
  3. Step 3: Cross multiply
    6,817.92x = 9,408.90 × 3,834.06
  4. Step 4: Simplify right side
    6,817.92x = 36,074,287.13
  5. Step 5: Solve for x
    x = 36,074,287.13/6,817.92
  6. Step 6: Final answer
    x = 5,291.10

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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.