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Finding the Fourth Proportional to 6,806.80, 10,201.96 and 3,103.96

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Solution

The fourth proportional to 6,806.80, 10,201.96 and 3,103.96 is: 4,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.80 : 10,201.96 = 3,103.96 : x
  2. Step 2: Convert to fraction form
    6,806.80/10,201.96 = 3,103.96/x
  3. Step 3: Cross multiply
    6,806.80x = 10,201.96 × 3,103.96
  4. Step 4: Simplify right side
    6,806.80x = 31,666,475.76
  5. Step 5: Solve for x
    x = 31,666,475.76/6,806.80
  6. Step 6: Final answer
    x = 4,652.18

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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.