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Finding the Fourth Proportional to 6,644.94, 9,968.49 and 2,261.94

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Solution

The fourth proportional to 6,644.94, 9,968.49 and 2,261.94 is: 3,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.94 : 9,968.49 = 2,261.94 : x
  2. Step 2: Convert to fraction form
    6,644.94/9,968.49 = 2,261.94/x
  3. Step 3: Cross multiply
    6,644.94x = 9,968.49 × 2,261.94
  4. Step 4: Simplify right side
    6,644.94x = 22,548,126.27
  5. Step 5: Solve for x
    x = 22,548,126.27/6,644.94
  6. Step 6: Final answer
    x = 3,393.28

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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.