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Finding the Fourth Proportional to 7,489.84, 11,235.12 and 2,296.12

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Solution

The fourth proportional to 7,489.84, 11,235.12 and 2,296.12 is: 3,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.84 : 11,235.12 = 2,296.12 : x
  2. Step 2: Convert to fraction form
    7,489.84/11,235.12 = 2,296.12/x
  3. Step 3: Cross multiply
    7,489.84x = 11,235.12 × 2,296.12
  4. Step 4: Simplify right side
    7,489.84x = 25,797,183.73
  5. Step 5: Solve for x
    x = 25,797,183.73/7,489.84
  6. Step 6: Final answer
    x = 3,444.29

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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.