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Finding the Fourth Proportional to 7,282, 10,923 and 2,665

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Solution

The fourth proportional to 7,282, 10,923 and 2,665 is: 3,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282 : 10,923 = 2,665 : x
  2. Step 2: Convert to fraction form
    7,282/10,923 = 2,665/x
  3. Step 3: Cross multiply
    7,282x = 10,923 × 2,665
  4. Step 4: Simplify right side
    7,282x = 29,109,795
  5. Step 5: Solve for x
    x = 29,109,795/7,282
  6. Step 6: Final answer
    x = 3,997.50

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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.