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Finding the Fourth Proportional to 7,200.97, 9,940.13 and 5,629.57

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Solution

The fourth proportional to 7,200.97, 9,940.13 and 5,629.57 is: 7,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.97 : 9,940.13 = 5,629.57 : x
  2. Step 2: Convert to fraction form
    7,200.97/9,940.13 = 5,629.57/x
  3. Step 3: Cross multiply
    7,200.97x = 9,940.13 × 5,629.57
  4. Step 4: Simplify right side
    7,200.97x = 55,958,657.64
  5. Step 5: Solve for x
    x = 55,958,657.64/7,200.97
  6. Step 6: Final answer
    x = 7,770.99

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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.