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Finding the Fourth Proportional to 7,505.20, 11,257.80 and 6,824.80

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Solution

The fourth proportional to 7,505.20, 11,257.80 and 6,824.80 is: 10,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.20 : 11,257.80 = 6,824.80 : x
  2. Step 2: Convert to fraction form
    7,505.20/11,257.80 = 6,824.80/x
  3. Step 3: Cross multiply
    7,505.20x = 11,257.80 × 6,824.80
  4. Step 4: Simplify right side
    7,505.20x = 76,832,233.44
  5. Step 5: Solve for x
    x = 76,832,233.44/7,505.20
  6. Step 6: Final answer
    x = 10,237.20

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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.