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Finding the Fourth Proportional to 6,528.66, 9,791.91 and 2,146.16

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Solution

The fourth proportional to 6,528.66, 9,791.91 and 2,146.16 is: 3,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.66 : 9,791.91 = 2,146.16 : x
  2. Step 2: Convert to fraction form
    6,528.66/9,791.91 = 2,146.16/x
  3. Step 3: Cross multiply
    6,528.66x = 9,791.91 × 2,146.16
  4. Step 4: Simplify right side
    6,528.66x = 21,014,956.61
  5. Step 5: Solve for x
    x = 21,014,956.61/6,528.66
  6. Step 6: Final answer
    x = 3,218.88

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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.