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Finding the Fourth Proportional to 17,797.82, 24,560 and 9,839.58

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Solution

The fourth proportional to 17,797.82, 24,560 and 9,839.58 is: 13,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.82 : 24,560 = 9,839.58 : x
  2. Step 2: Convert to fraction form
    17,797.82/24,560 = 9,839.58/x
  3. Step 3: Cross multiply
    17,797.82x = 24,560 × 9,839.58
  4. Step 4: Simplify right side
    17,797.82x = 241,660,084.80
  5. Step 5: Solve for x
    x = 241,660,084.80/17,797.82
  6. Step 6: Final answer
    x = 13,578.07

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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.