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Finding the Fourth Proportional to 6,757.07, 10,137.22 and 2,140.07

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Solution

The fourth proportional to 6,757.07, 10,137.22 and 2,140.07 is: 3,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.07 : 10,137.22 = 2,140.07 : x
  2. Step 2: Convert to fraction form
    6,757.07/10,137.22 = 2,140.07/x
  3. Step 3: Cross multiply
    6,757.07x = 10,137.22 × 2,140.07
  4. Step 4: Simplify right side
    6,757.07x = 21,694,360.41
  5. Step 5: Solve for x
    x = 21,694,360.41/6,757.07
  6. Step 6: Final answer
    x = 3,210.62

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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.