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Finding the Fourth Proportional to 6,806.50, 10,205.66 and 3,057.60

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Solution

The fourth proportional to 6,806.50, 10,205.66 and 3,057.60 is: 4,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.50 : 10,205.66 = 3,057.60 : x
  2. Step 2: Convert to fraction form
    6,806.50/10,205.66 = 3,057.60/x
  3. Step 3: Cross multiply
    6,806.50x = 10,205.66 × 3,057.60
  4. Step 4: Simplify right side
    6,806.50x = 31,204,826.02
  5. Step 5: Solve for x
    x = 31,204,826.02/6,806.50
  6. Step 6: Final answer
    x = 4,584.56

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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.