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Finding the Fourth Proportional to 7,722.80, 11,571.84 and 7,517.77

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Solution

The fourth proportional to 7,722.80, 11,571.84 and 7,517.77 is: 11,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.80 : 11,571.84 = 7,517.77 : x
  2. Step 2: Convert to fraction form
    7,722.80/11,571.84 = 7,517.77/x
  3. Step 3: Cross multiply
    7,722.80x = 11,571.84 × 7,517.77
  4. Step 4: Simplify right side
    7,722.80x = 86,994,431.60
  5. Step 5: Solve for x
    x = 86,994,431.60/7,722.80
  6. Step 6: Final answer
    x = 11,264.62

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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.