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Finding the Fourth Proportional to 6,805.22, 9,391.19 and 3,822.01

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Solution

The fourth proportional to 6,805.22, 9,391.19 and 3,822.01 is: 5,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.22 : 9,391.19 = 3,822.01 : x
  2. Step 2: Convert to fraction form
    6,805.22/9,391.19 = 3,822.01/x
  3. Step 3: Cross multiply
    6,805.22x = 9,391.19 × 3,822.01
  4. Step 4: Simplify right side
    6,805.22x = 35,893,179.50
  5. Step 5: Solve for x
    x = 35,893,179.50/6,805.22
  6. Step 6: Final answer
    x = 5,274.36

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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.