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Finding the Fourth Proportional to 6,643.14, 9,959.22 and 2,743.02

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Solution

The fourth proportional to 6,643.14, 9,959.22 and 2,743.02 is: 4,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.14 : 9,959.22 = 2,743.02 : x
  2. Step 2: Convert to fraction form
    6,643.14/9,959.22 = 2,743.02/x
  3. Step 3: Cross multiply
    6,643.14x = 9,959.22 × 2,743.02
  4. Step 4: Simplify right side
    6,643.14x = 27,318,339.64
  5. Step 5: Solve for x
    x = 27,318,339.64/6,643.14
  6. Step 6: Final answer
    x = 4,112.26

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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.