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Finding the Fourth Proportional to 37,956, 56,934 and 10,254

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Solution

The fourth proportional to 37,956, 56,934 and 10,254 is: 15,381

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956 : 56,934 = 10,254 : x
  2. Step 2: Convert to fraction form
    37,956/56,934 = 10,254/x
  3. Step 3: Cross multiply
    37,956x = 56,934 × 10,254
  4. Step 4: Simplify right side
    37,956x = 583,801,236
  5. Step 5: Solve for x
    x = 583,801,236/37,956
  6. Step 6: Final answer
    x = 15,381

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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.