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Finding the Fourth Proportional to 6,361.13, 9,534.71 and 2,665.71

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Solution

The fourth proportional to 6,361.13, 9,534.71 and 2,665.71 is: 3,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.13 : 9,534.71 = 2,665.71 : x
  2. Step 2: Convert to fraction form
    6,361.13/9,534.71 = 2,665.71/x
  3. Step 3: Cross multiply
    6,361.13x = 9,534.71 × 2,665.71
  4. Step 4: Simplify right side
    6,361.13x = 25,416,778.46
  5. Step 5: Solve for x
    x = 25,416,778.46/6,361.13
  6. Step 6: Final answer
    x = 3,995.64

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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.