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Finding the Fourth Proportional to 6,797.49, 9,380.29 and 3,813.27

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Solution

The fourth proportional to 6,797.49, 9,380.29 and 3,813.27 is: 5,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.49 : 9,380.29 = 3,813.27 : x
  2. Step 2: Convert to fraction form
    6,797.49/9,380.29 = 3,813.27/x
  3. Step 3: Cross multiply
    6,797.49x = 9,380.29 × 3,813.27
  4. Step 4: Simplify right side
    6,797.49x = 35,769,578.45
  5. Step 5: Solve for x
    x = 35,769,578.45/6,797.49
  6. Step 6: Final answer
    x = 5,262.17

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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.