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Finding the Fourth Proportional to 7,167.99, 10,752 and 1,974.27

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Solution

The fourth proportional to 7,167.99, 10,752 and 1,974.27 is: 2,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.99 : 10,752 = 1,974.27 : x
  2. Step 2: Convert to fraction form
    7,167.99/10,752 = 1,974.27/x
  3. Step 3: Cross multiply
    7,167.99x = 10,752 × 1,974.27
  4. Step 4: Simplify right side
    7,167.99x = 21,227,351.04
  5. Step 5: Solve for x
    x = 21,227,351.04/7,167.99
  6. Step 6: Final answer
    x = 2,961.41

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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.