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Finding the Fourth Proportional to 6,707.75, 10,062.17 and 2,090.75

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Solution

The fourth proportional to 6,707.75, 10,062.17 and 2,090.75 is: 3,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.75 : 10,062.17 = 2,090.75 : x
  2. Step 2: Convert to fraction form
    6,707.75/10,062.17 = 2,090.75/x
  3. Step 3: Cross multiply
    6,707.75x = 10,062.17 × 2,090.75
  4. Step 4: Simplify right side
    6,707.75x = 21,037,481.93
  5. Step 5: Solve for x
    x = 21,037,481.93/6,707.75
  6. Step 6: Final answer
    x = 3,136.29

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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.