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Finding the Fourth Proportional to 7,194.92, 10,782.66 and 3,734.60

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Solution

The fourth proportional to 7,194.92, 10,782.66 and 3,734.60 is: 5,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.92 : 10,782.66 = 3,734.60 : x
  2. Step 2: Convert to fraction form
    7,194.92/10,782.66 = 3,734.60/x
  3. Step 3: Cross multiply
    7,194.92x = 10,782.66 × 3,734.60
  4. Step 4: Simplify right side
    7,194.92x = 40,268,922.04
  5. Step 5: Solve for x
    x = 40,268,922.04/7,194.92
  6. Step 6: Final answer
    x = 5,596.85

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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.