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Finding the Fourth Proportional to 7,231.20, 10,825.20 and 6,453.60

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Solution

The fourth proportional to 7,231.20, 10,825.20 and 6,453.60 is: 9,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.20 : 10,825.20 = 6,453.60 : x
  2. Step 2: Convert to fraction form
    7,231.20/10,825.20 = 6,453.60/x
  3. Step 3: Cross multiply
    7,231.20x = 10,825.20 × 6,453.60
  4. Step 4: Simplify right side
    7,231.20x = 69,861,510.72
  5. Step 5: Solve for x
    x = 69,861,510.72/7,231.20
  6. Step 6: Final answer
    x = 9,661.12

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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.