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Finding the Fourth Proportional to 6,652.14, 9,979.43 and 2,754.42

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Solution

The fourth proportional to 6,652.14, 9,979.43 and 2,754.42 is: 4,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.14 : 9,979.43 = 2,754.42 : x
  2. Step 2: Convert to fraction form
    6,652.14/9,979.43 = 2,754.42/x
  3. Step 3: Cross multiply
    6,652.14x = 9,979.43 × 2,754.42
  4. Step 4: Simplify right side
    6,652.14x = 27,487,527.81
  5. Step 5: Solve for x
    x = 27,487,527.81/6,652.14
  6. Step 6: Final answer
    x = 4,132.13

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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.