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Finding the Fourth Proportional to 6,202.44, 9,287.02 and 5,218.29

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Solution

The fourth proportional to 6,202.44, 9,287.02 and 5,218.29 is: 7,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.44 : 9,287.02 = 5,218.29 : x
  2. Step 2: Convert to fraction form
    6,202.44/9,287.02 = 5,218.29/x
  3. Step 3: Cross multiply
    6,202.44x = 9,287.02 × 5,218.29
  4. Step 4: Simplify right side
    6,202.44x = 48,462,370.12
  5. Step 5: Solve for x
    x = 48,462,370.12/6,202.44
  6. Step 6: Final answer
    x = 7,813.44

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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.