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Finding the Fourth Proportional to 27,706.62, 41,567.13 and 7,986.78

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Solution

The fourth proportional to 27,706.62, 41,567.13 and 7,986.78 is: 11,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.62 : 41,567.13 = 7,986.78 : x
  2. Step 2: Convert to fraction form
    27,706.62/41,567.13 = 7,986.78/x
  3. Step 3: Cross multiply
    27,706.62x = 41,567.13 × 7,986.78
  4. Step 4: Simplify right side
    27,706.62x = 331,987,522.54
  5. Step 5: Solve for x
    x = 331,987,522.54/27,706.62
  6. Step 6: Final answer
    x = 11,982.25

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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.