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Finding the Fourth Proportional to 35,238, 52,857 and 10,614

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Solution

The fourth proportional to 35,238, 52,857 and 10,614 is: 15,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,238 : 52,857 = 10,614 : x
  2. Step 2: Convert to fraction form
    35,238/52,857 = 10,614/x
  3. Step 3: Cross multiply
    35,238x = 52,857 × 10,614
  4. Step 4: Simplify right side
    35,238x = 561,024,198
  5. Step 5: Solve for x
    x = 561,024,198/35,238
  6. Step 6: Final answer
    x = 15,921

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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.