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Finding the Fourth Proportional to 7,067.34, 10,602 and 2,136.42

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Solution

The fourth proportional to 7,067.34, 10,602 and 2,136.42 is: 3,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.34 : 10,602 = 2,136.42 : x
  2. Step 2: Convert to fraction form
    7,067.34/10,602 = 2,136.42/x
  3. Step 3: Cross multiply
    7,067.34x = 10,602 × 2,136.42
  4. Step 4: Simplify right side
    7,067.34x = 22,650,324.84
  5. Step 5: Solve for x
    x = 22,650,324.84/7,067.34
  6. Step 6: Final answer
    x = 3,204.93

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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.