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Finding the Fourth Proportional to 15,975, 23,968.26 and 11,584.80

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Solution

The fourth proportional to 15,975, 23,968.26 and 11,584.80 is: 17,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975 : 23,968.26 = 11,584.80 : x
  2. Step 2: Convert to fraction form
    15,975/23,968.26 = 11,584.80/x
  3. Step 3: Cross multiply
    15,975x = 23,968.26 × 11,584.80
  4. Step 4: Simplify right side
    15,975x = 277,667,498.45
  5. Step 5: Solve for x
    x = 277,667,498.45/15,975
  6. Step 6: Final answer
    x = 17,381.38

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1.5x scale

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.