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Finding the Fourth Proportional to 7,768.08, 11,633.49 and 6,834.15

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Solution

The fourth proportional to 7,768.08, 11,633.49 and 6,834.15 is: 10,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.08 : 11,633.49 = 6,834.15 : x
  2. Step 2: Convert to fraction form
    7,768.08/11,633.49 = 6,834.15/x
  3. Step 3: Cross multiply
    7,768.08x = 11,633.49 × 6,834.15
  4. Step 4: Simplify right side
    7,768.08x = 79,505,015.68
  5. Step 5: Solve for x
    x = 79,505,015.68/7,768.08
  6. Step 6: Final answer
    x = 10,234.83

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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.