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Finding the Fourth Proportional to 6,757.97, 10,137.29 and 2,596.51

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Solution

The fourth proportional to 6,757.97, 10,137.29 and 2,596.51 is: 3,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.97 : 10,137.29 = 2,596.51 : x
  2. Step 2: Convert to fraction form
    6,757.97/10,137.29 = 2,596.51/x
  3. Step 3: Cross multiply
    6,757.97x = 10,137.29 × 2,596.51
  4. Step 4: Simplify right side
    6,757.97x = 26,321,574.55
  5. Step 5: Solve for x
    x = 26,321,574.55/6,757.97
  6. Step 6: Final answer
    x = 3,894.90

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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.