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Finding the Fourth Proportional to 6,784.22, 9,362.27 and 3,800.90

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Solution

The fourth proportional to 6,784.22, 9,362.27 and 3,800.90 is: 5,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.22 : 9,362.27 = 3,800.90 : x
  2. Step 2: Convert to fraction form
    6,784.22/9,362.27 = 3,800.90/x
  3. Step 3: Cross multiply
    6,784.22x = 9,362.27 × 3,800.90
  4. Step 4: Simplify right side
    6,784.22x = 35,585,084.95
  5. Step 5: Solve for x
    x = 35,585,084.95/6,784.22
  6. Step 6: Final answer
    x = 5,245.27

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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.