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Finding the Fourth Proportional to 6,646.40, 9,965.60 and 2,748.72

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Solution

The fourth proportional to 6,646.40, 9,965.60 and 2,748.72 is: 4,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.40 : 9,965.60 = 2,748.72 : x
  2. Step 2: Convert to fraction form
    6,646.40/9,965.60 = 2,748.72/x
  3. Step 3: Cross multiply
    6,646.40x = 9,965.60 × 2,748.72
  4. Step 4: Simplify right side
    6,646.40x = 27,392,644.03
  5. Step 5: Solve for x
    x = 27,392,644.03/6,646.40
  6. Step 6: Final answer
    x = 4,121.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.