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Finding the Fourth Proportional to 6,530.74, 9,796.79 and 2,087.35

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Solution

The fourth proportional to 6,530.74, 9,796.79 and 2,087.35 is: 3,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.74 : 9,796.79 = 2,087.35 : x
  2. Step 2: Convert to fraction form
    6,530.74/9,796.79 = 2,087.35/x
  3. Step 3: Cross multiply
    6,530.74x = 9,796.79 × 2,087.35
  4. Step 4: Simplify right side
    6,530.74x = 20,449,310.33
  5. Step 5: Solve for x
    x = 20,449,310.33/6,530.74
  6. Step 6: Final answer
    x = 3,131.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.