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Finding the Fourth Proportional to 6,643.96, 9,967.49 and 2,261.41

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Solution

The fourth proportional to 6,643.96, 9,967.49 and 2,261.41 is: 3,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.96 : 9,967.49 = 2,261.41 : x
  2. Step 2: Convert to fraction form
    6,643.96/9,967.49 = 2,261.41/x
  3. Step 3: Cross multiply
    6,643.96x = 9,967.49 × 2,261.41
  4. Step 4: Simplify right side
    6,643.96x = 22,540,581.56
  5. Step 5: Solve for x
    x = 22,540,581.56/6,643.96
  6. Step 6: Final answer
    x = 3,392.64

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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.