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Finding the Fourth Proportional to 6,530.93, 9,796.39 and 2,634.42

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Solution

The fourth proportional to 6,530.93, 9,796.39 and 2,634.42 is: 3,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.93 : 9,796.39 = 2,634.42 : x
  2. Step 2: Convert to fraction form
    6,530.93/9,796.39 = 2,634.42/x
  3. Step 3: Cross multiply
    6,530.93x = 9,796.39 × 2,634.42
  4. Step 4: Simplify right side
    6,530.93x = 25,807,850.71
  5. Step 5: Solve for x
    x = 25,807,850.71/6,530.93
  6. Step 6: Final answer
    x = 3,951.64

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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.