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Finding the Fourth Proportional to 23,694, 35,541 and 7,278

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Solution

The fourth proportional to 23,694, 35,541 and 7,278 is: 10,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694 : 35,541 = 7,278 : x
  2. Step 2: Convert to fraction form
    23,694/35,541 = 7,278/x
  3. Step 3: Cross multiply
    23,694x = 35,541 × 7,278
  4. Step 4: Simplify right side
    23,694x = 258,667,398
  5. Step 5: Solve for x
    x = 258,667,398/23,694
  6. Step 6: Final answer
    x = 10,917

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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.