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Finding the Fourth Proportional to 25,304, 37,956 and 6,836

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Solution

The fourth proportional to 25,304, 37,956 and 6,836 is: 10,254

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,304 : 37,956 = 6,836 : x
  2. Step 2: Convert to fraction form
    25,304/37,956 = 6,836/x
  3. Step 3: Cross multiply
    25,304x = 37,956 × 6,836
  4. Step 4: Simplify right side
    25,304x = 259,467,216
  5. Step 5: Solve for x
    x = 259,467,216/25,304
  6. Step 6: Final answer
    x = 10,254

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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.