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Finding the Fourth Proportional to 6,261.52, 9,392.82 and 1,644.52

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Solution

The fourth proportional to 6,261.52, 9,392.82 and 1,644.52 is: 2,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.52 : 9,392.82 = 1,644.52 : x
  2. Step 2: Convert to fraction form
    6,261.52/9,392.82 = 1,644.52/x
  3. Step 3: Cross multiply
    6,261.52x = 9,392.82 × 1,644.52
  4. Step 4: Simplify right side
    6,261.52x = 15,446,680.35
  5. Step 5: Solve for x
    x = 15,446,680.35/6,261.52
  6. Step 6: Final answer
    x = 2,466.92

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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.