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Finding the Fourth Proportional to 6,776.97, 9,352.16 and 3,793.08

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Solution

The fourth proportional to 6,776.97, 9,352.16 and 3,793.08 is: 5,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.97 : 9,352.16 = 3,793.08 : x
  2. Step 2: Convert to fraction form
    6,776.97/9,352.16 = 3,793.08/x
  3. Step 3: Cross multiply
    6,776.97x = 9,352.16 × 3,793.08
  4. Step 4: Simplify right side
    6,776.97x = 35,473,468.78
  5. Step 5: Solve for x
    x = 35,473,468.78/6,776.97
  6. Step 6: Final answer
    x = 5,234.42

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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.