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Finding the Fourth Proportional to 7,736.60, 11,604.22 and 2,189.83

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Solution

The fourth proportional to 7,736.60, 11,604.22 and 2,189.83 is: 3,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.60 : 11,604.22 = 2,189.83 : x
  2. Step 2: Convert to fraction form
    7,736.60/11,604.22 = 2,189.83/x
  3. Step 3: Cross multiply
    7,736.60x = 11,604.22 × 2,189.83
  4. Step 4: Simplify right side
    7,736.60x = 25,411,269.08
  5. Step 5: Solve for x
    x = 25,411,269.08/7,736.60
  6. Step 6: Final answer
    x = 3,284.55

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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.