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Finding the Fourth Proportional to 6,759, 10,143.96 and 2,866.14

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Solution

The fourth proportional to 6,759, 10,143.96 and 2,866.14 is: 4,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759 : 10,143.96 = 2,866.14 : x
  2. Step 2: Convert to fraction form
    6,759/10,143.96 = 2,866.14/x
  3. Step 3: Cross multiply
    6,759x = 10,143.96 × 2,866.14
  4. Step 4: Simplify right side
    6,759x = 29,074,009.51
  5. Step 5: Solve for x
    x = 29,074,009.51/6,759
  6. Step 6: Final answer
    x = 4,301.53

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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.