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Finding the Fourth Proportional to 6,202.43, 9,292.81 and 5,169.07

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Solution

The fourth proportional to 6,202.43, 9,292.81 and 5,169.07 is: 7,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.43 : 9,292.81 = 5,169.07 : x
  2. Step 2: Convert to fraction form
    6,202.43/9,292.81 = 5,169.07/x
  3. Step 3: Cross multiply
    6,202.43x = 9,292.81 × 5,169.07
  4. Step 4: Simplify right side
    6,202.43x = 48,035,185.39
  5. Step 5: Solve for x
    x = 48,035,185.39/6,202.43
  6. Step 6: Final answer
    x = 7,744.58

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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.