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Finding the Fourth Proportional to 7,200.26, 9,936.46 and 4,013.46

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Solution

The fourth proportional to 7,200.26, 9,936.46 and 4,013.46 is: 5,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.26 : 9,936.46 = 4,013.46 : x
  2. Step 2: Convert to fraction form
    7,200.26/9,936.46 = 4,013.46/x
  3. Step 3: Cross multiply
    7,200.26x = 9,936.46 × 4,013.46
  4. Step 4: Simplify right side
    7,200.26x = 39,879,584.75
  5. Step 5: Solve for x
    x = 39,879,584.75/7,200.26
  6. Step 6: Final answer
    x = 5,538.63

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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.