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Finding the Fourth Proportional to 6,806.15, 10,201.01 and 3,517.46

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Solution

The fourth proportional to 6,806.15, 10,201.01 and 3,517.46 is: 5,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.15 : 10,201.01 = 3,517.46 : x
  2. Step 2: Convert to fraction form
    6,806.15/10,201.01 = 3,517.46/x
  3. Step 3: Cross multiply
    6,806.15x = 10,201.01 × 3,517.46
  4. Step 4: Simplify right side
    6,806.15x = 35,881,576.04
  5. Step 5: Solve for x
    x = 35,881,576.04/6,806.15
  6. Step 6: Final answer
    x = 5,271.94

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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.