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Finding the Fourth Proportional to 6,193.80, 9,293.74 and 2,906.31

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Solution

The fourth proportional to 6,193.80, 9,293.74 and 2,906.31 is: 4,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.80 : 9,293.74 = 2,906.31 : x
  2. Step 2: Convert to fraction form
    6,193.80/9,293.74 = 2,906.31/x
  3. Step 3: Cross multiply
    6,193.80x = 9,293.74 × 2,906.31
  4. Step 4: Simplify right side
    6,193.80x = 27,010,517.09
  5. Step 5: Solve for x
    x = 27,010,517.09/6,193.80
  6. Step 6: Final answer
    x = 4,360.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.