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Finding the Fourth Proportional to 6,802, 10,202.10 and 2,854.06

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Solution

The fourth proportional to 6,802, 10,202.10 and 2,854.06 is: 4,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802 : 10,202.10 = 2,854.06 : x
  2. Step 2: Convert to fraction form
    6,802/10,202.10 = 2,854.06/x
  3. Step 3: Cross multiply
    6,802x = 10,202.10 × 2,854.06
  4. Step 4: Simplify right side
    6,802x = 29,117,405.53
  5. Step 5: Solve for x
    x = 29,117,405.53/6,802
  6. Step 6: Final answer
    x = 4,280.71

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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.