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Finding the Fourth Proportional to 6,643.28, 9,965.38 and 2,200.94

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Solution

The fourth proportional to 6,643.28, 9,965.38 and 2,200.94 is: 3,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.28 : 9,965.38 = 2,200.94 : x
  2. Step 2: Convert to fraction form
    6,643.28/9,965.38 = 2,200.94/x
  3. Step 3: Cross multiply
    6,643.28x = 9,965.38 × 2,200.94
  4. Step 4: Simplify right side
    6,643.28x = 21,933,203.46
  5. Step 5: Solve for x
    x = 21,933,203.46/6,643.28
  6. Step 6: Final answer
    x = 3,301.56

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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.