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Finding the Fourth Proportional to 7,741.44, 11,612.88 and 2,194.92

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Solution

The fourth proportional to 7,741.44, 11,612.88 and 2,194.92 is: 3,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.44 : 11,612.88 = 2,194.92 : x
  2. Step 2: Convert to fraction form
    7,741.44/11,612.88 = 2,194.92/x
  3. Step 3: Cross multiply
    7,741.44x = 11,612.88 × 2,194.92
  4. Step 4: Simplify right side
    7,741.44x = 25,489,342.57
  5. Step 5: Solve for x
    x = 25,489,342.57/7,741.44
  6. Step 6: Final answer
    x = 3,292.58

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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.