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Finding the Fourth Proportional to 35,498, 53,247 and 10,874

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Solution

The fourth proportional to 35,498, 53,247 and 10,874 is: 16,311

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498 : 53,247 = 10,874 : x
  2. Step 2: Convert to fraction form
    35,498/53,247 = 10,874/x
  3. Step 3: Cross multiply
    35,498x = 53,247 × 10,874
  4. Step 4: Simplify right side
    35,498x = 579,007,878
  5. Step 5: Solve for x
    x = 579,007,878/35,498
  6. Step 6: Final answer
    x = 16,311

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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.