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Finding the Fourth Proportional to 17,028.54, 23,498 and 9,474.88

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Solution

The fourth proportional to 17,028.54, 23,498 and 9,474.88 is: 13,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,028.54 : 23,498 = 9,474.88 : x
  2. Step 2: Convert to fraction form
    17,028.54/23,498 = 9,474.88/x
  3. Step 3: Cross multiply
    17,028.54x = 23,498 × 9,474.88
  4. Step 4: Simplify right side
    17,028.54x = 222,640,730.24
  5. Step 5: Solve for x
    x = 222,640,730.24/17,028.54
  6. Step 6: Final answer
    x = 13,074.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.