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Finding the Fourth Proportional to 34,998, 52,497 and 10,374

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Solution

The fourth proportional to 34,998, 52,497 and 10,374 is: 15,561

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,998 : 52,497 = 10,374 : x
  2. Step 2: Convert to fraction form
    34,998/52,497 = 10,374/x
  3. Step 3: Cross multiply
    34,998x = 52,497 × 10,374
  4. Step 4: Simplify right side
    34,998x = 544,603,878
  5. Step 5: Solve for x
    x = 544,603,878/34,998
  6. Step 6: Final answer
    x = 15,561

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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.