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Finding the Fourth Proportional to 6,785.37, 10,177.11 and 2,627.37

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Solution

The fourth proportional to 6,785.37, 10,177.11 and 2,627.37 is: 3,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.37 : 10,177.11 = 2,627.37 : x
  2. Step 2: Convert to fraction form
    6,785.37/10,177.11 = 2,627.37/x
  3. Step 3: Cross multiply
    6,785.37x = 10,177.11 × 2,627.37
  4. Step 4: Simplify right side
    6,785.37x = 26,739,033.50
  5. Step 5: Solve for x
    x = 26,739,033.50/6,785.37
  6. Step 6: Final answer
    x = 3,940.69

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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.