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Finding the Fourth Proportional to 6,797.90, 9,380.94 and 3,813.66

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Solution

The fourth proportional to 6,797.90, 9,380.94 and 3,813.66 is: 5,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.90 : 9,380.94 = 3,813.66 : x
  2. Step 2: Convert to fraction form
    6,797.90/9,380.94 = 3,813.66/x
  3. Step 3: Cross multiply
    6,797.90x = 9,380.94 × 3,813.66
  4. Step 4: Simplify right side
    6,797.90x = 35,775,715.64
  5. Step 5: Solve for x
    x = 35,775,715.64/6,797.90
  6. Step 6: Final answer
    x = 5,262.76

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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.