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Finding the Fourth Proportional to 7,591.82, 11,388.94 and 3,209.30

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Solution

The fourth proportional to 7,591.82, 11,388.94 and 3,209.30 is: 4,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.82 : 11,388.94 = 3,209.30 : x
  2. Step 2: Convert to fraction form
    7,591.82/11,388.94 = 3,209.30/x
  3. Step 3: Cross multiply
    7,591.82x = 11,388.94 × 3,209.30
  4. Step 4: Simplify right side
    7,591.82x = 36,550,525.14
  5. Step 5: Solve for x
    x = 36,550,525.14/7,591.82
  6. Step 6: Final answer
    x = 4,814.46

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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.