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Finding the Fourth Proportional to 17,634, 26,451 and 5,322

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Solution

The fourth proportional to 17,634, 26,451 and 5,322 is: 7,983

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634 : 26,451 = 5,322 : x
  2. Step 2: Convert to fraction form
    17,634/26,451 = 5,322/x
  3. Step 3: Cross multiply
    17,634x = 26,451 × 5,322
  4. Step 4: Simplify right side
    17,634x = 140,772,222
  5. Step 5: Solve for x
    x = 140,772,222/17,634
  6. Step 6: Final answer
    x = 7,983

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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.