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Finding the Fourth Proportional to 6,785.75, 10,175.87 and 2,834.40

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Solution

The fourth proportional to 6,785.75, 10,175.87 and 2,834.40 is: 4,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.75 : 10,175.87 = 2,834.40 : x
  2. Step 2: Convert to fraction form
    6,785.75/10,175.87 = 2,834.40/x
  3. Step 3: Cross multiply
    6,785.75x = 10,175.87 × 2,834.40
  4. Step 4: Simplify right side
    6,785.75x = 28,842,471.76
  5. Step 5: Solve for x
    x = 28,842,471.76/6,785.75
  6. Step 6: Final answer
    x = 4,250.45

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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.