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Finding the Fourth Proportional to 7,938, 11,907 and 2,466

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Solution

The fourth proportional to 7,938, 11,907 and 2,466 is: 3,699

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 11,907 = 2,466 : x
  2. Step 2: Convert to fraction form
    7,938/11,907 = 2,466/x
  3. Step 3: Cross multiply
    7,938x = 11,907 × 2,466
  4. Step 4: Simplify right side
    7,938x = 29,362,662
  5. Step 5: Solve for x
    x = 29,362,662/7,938
  6. Step 6: Final answer
    x = 3,699

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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.