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Finding the Fourth Proportional to 6,109.50, 9,158.82 and 2,213.04

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Solution

The fourth proportional to 6,109.50, 9,158.82 and 2,213.04 is: 3,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.50 : 9,158.82 = 2,213.04 : x
  2. Step 2: Convert to fraction form
    6,109.50/9,158.82 = 2,213.04/x
  3. Step 3: Cross multiply
    6,109.50x = 9,158.82 × 2,213.04
  4. Step 4: Simplify right side
    6,109.50x = 20,268,835.01
  5. Step 5: Solve for x
    x = 20,268,835.01/6,109.50
  6. Step 6: Final answer
    x = 3,317.59

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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.