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Finding the Fourth Proportional to 6,866.76, 10,301.06 and 3,169.82

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Solution

The fourth proportional to 6,866.76, 10,301.06 and 3,169.82 is: 4,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.76 : 10,301.06 = 3,169.82 : x
  2. Step 2: Convert to fraction form
    6,866.76/10,301.06 = 3,169.82/x
  3. Step 3: Cross multiply
    6,866.76x = 10,301.06 × 3,169.82
  4. Step 4: Simplify right side
    6,866.76x = 32,652,506.01
  5. Step 5: Solve for x
    x = 32,652,506.01/6,866.76
  6. Step 6: Final answer
    x = 4,755.15

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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.