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Finding the Fourth Proportional to 6,705, 9,253.06 and 3,761

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Solution

The fourth proportional to 6,705, 9,253.06 and 3,761 is: 5,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705 : 9,253.06 = 3,761 : x
  2. Step 2: Convert to fraction form
    6,705/9,253.06 = 3,761/x
  3. Step 3: Cross multiply
    6,705x = 9,253.06 × 3,761
  4. Step 4: Simplify right side
    6,705x = 34,800,758.66
  5. Step 5: Solve for x
    x = 34,800,758.66/6,705
  6. Step 6: Final answer
    x = 5,190.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.