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Finding the Fourth Proportional to 6,681, 10,021.44 and 2,731.42

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Solution

The fourth proportional to 6,681, 10,021.44 and 2,731.42 is: 4,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681 : 10,021.44 = 2,731.42 : x
  2. Step 2: Convert to fraction form
    6,681/10,021.44 = 2,731.42/x
  3. Step 3: Cross multiply
    6,681x = 10,021.44 × 2,731.42
  4. Step 4: Simplify right side
    6,681x = 27,372,761.64
  5. Step 5: Solve for x
    x = 27,372,761.64/6,681
  6. Step 6: Final answer
    x = 4,097.11

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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.