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Finding the Fourth Proportional to 6,644.44, 9,967.74 and 2,261.44

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Solution

The fourth proportional to 6,644.44, 9,967.74 and 2,261.44 is: 3,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.44 : 9,967.74 = 2,261.44 : x
  2. Step 2: Convert to fraction form
    6,644.44/9,967.74 = 2,261.44/x
  3. Step 3: Cross multiply
    6,644.44x = 9,967.74 × 2,261.44
  4. Step 4: Simplify right side
    6,644.44x = 22,541,445.95
  5. Step 5: Solve for x
    x = 22,541,445.95/6,644.44
  6. Step 6: Final answer
    x = 3,392.53

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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.