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Finding the Fourth Proportional to 11,571.98, 15,972.12 and 6,792.98

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Solution

The fourth proportional to 11,571.98, 15,972.12 and 6,792.98 is: 9,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.98 : 15,972.12 = 6,792.98 : x
  2. Step 2: Convert to fraction form
    11,571.98/15,972.12 = 6,792.98/x
  3. Step 3: Cross multiply
    11,571.98x = 15,972.12 × 6,792.98
  4. Step 4: Simplify right side
    11,571.98x = 108,498,211.86
  5. Step 5: Solve for x
    x = 108,498,211.86/11,571.98
  6. Step 6: Final answer
    x = 9,375.95

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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.