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Finding the Fourth Proportional to 11,571.62, 15,968.78 and 6,266.42

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Solution

The fourth proportional to 11,571.62, 15,968.78 and 6,266.42 is: 8,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.62 : 15,968.78 = 6,266.42 : x
  2. Step 2: Convert to fraction form
    11,571.62/15,968.78 = 6,266.42/x
  3. Step 3: Cross multiply
    11,571.62x = 15,968.78 × 6,266.42
  4. Step 4: Simplify right side
    11,571.62x = 100,067,002.52
  5. Step 5: Solve for x
    x = 100,067,002.52/11,571.62
  6. Step 6: Final answer
    x = 8,647.62

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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.