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Finding the Fourth Proportional to 6,644.62, 9,966.12 and 2,748.52

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Solution

The fourth proportional to 6,644.62, 9,966.12 and 2,748.52 is: 4,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.62 : 9,966.12 = 2,748.52 : x
  2. Step 2: Convert to fraction form
    6,644.62/9,966.12 = 2,748.52/x
  3. Step 3: Cross multiply
    6,644.62x = 9,966.12 × 2,748.52
  4. Step 4: Simplify right side
    6,644.62x = 27,392,080.14
  5. Step 5: Solve for x
    x = 27,392,080.14/6,644.62
  6. Step 6: Final answer
    x = 4,122.44

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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.