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Finding the Fourth Proportional to 7,797.60, 11,640.89 and 7,524.24

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Solution

The fourth proportional to 7,797.60, 11,640.89 and 7,524.24 is: 11,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.60 : 11,640.89 = 7,524.24 : x
  2. Step 2: Convert to fraction form
    7,797.60/11,640.89 = 7,524.24/x
  3. Step 3: Cross multiply
    7,797.60x = 11,640.89 × 7,524.24
  4. Step 4: Simplify right side
    7,797.60x = 87,588,850.17
  5. Step 5: Solve for x
    x = 87,588,850.17/7,797.60
  6. Step 6: Final answer
    x = 11,232.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.