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Finding the Fourth Proportional to 7,202.75, 10,797.71 and 2,823.26

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Solution

The fourth proportional to 7,202.75, 10,797.71 and 2,823.26 is: 4,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.75 : 10,797.71 = 2,823.26 : x
  2. Step 2: Convert to fraction form
    7,202.75/10,797.71 = 2,823.26/x
  3. Step 3: Cross multiply
    7,202.75x = 10,797.71 × 2,823.26
  4. Step 4: Simplify right side
    7,202.75x = 30,484,674.63
  5. Step 5: Solve for x
    x = 30,484,674.63/7,202.75
  6. Step 6: Final answer
    x = 4,232.37

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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.