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Finding the Fourth Proportional to 6,805.80, 9,392.54 and 3,822.30

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Solution

The fourth proportional to 6,805.80, 9,392.54 and 3,822.30 is: 5,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.80 : 9,392.54 = 3,822.30 : x
  2. Step 2: Convert to fraction form
    6,805.80/9,392.54 = 3,822.30/x
  3. Step 3: Cross multiply
    6,805.80x = 9,392.54 × 3,822.30
  4. Step 4: Simplify right side
    6,805.80x = 35,901,086.53
  5. Step 5: Solve for x
    x = 35,901,086.53/6,805.80
  6. Step 6: Final answer
    x = 5,275.07

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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.