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Finding the Fourth Proportional to 6,730.39, 10,091.94 and 2,834.02

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Solution

The fourth proportional to 6,730.39, 10,091.94 and 2,834.02 is: 4,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.39 : 10,091.94 = 2,834.02 : x
  2. Step 2: Convert to fraction form
    6,730.39/10,091.94 = 2,834.02/x
  3. Step 3: Cross multiply
    6,730.39x = 10,091.94 × 2,834.02
  4. Step 4: Simplify right side
    6,730.39x = 28,600,759.80
  5. Step 5: Solve for x
    x = 28,600,759.80/6,730.39
  6. Step 6: Final answer
    x = 4,249.50

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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.