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Finding the Fourth Proportional to 6,784.97, 9,363.77 and 4,269.23

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Solution

The fourth proportional to 6,784.97, 9,363.77 and 4,269.23 is: 5,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.97 : 9,363.77 = 4,269.23 : x
  2. Step 2: Convert to fraction form
    6,784.97/9,363.77 = 4,269.23/x
  3. Step 3: Cross multiply
    6,784.97x = 9,363.77 × 4,269.23
  4. Step 4: Simplify right side
    6,784.97x = 39,976,147.44
  5. Step 5: Solve for x
    x = 39,976,147.44/6,784.97
  6. Step 6: Final answer
    x = 5,891.87

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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.