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Finding the Fourth Proportional to 6,735.15, 10,103.19 and 2,293.26

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Solution

The fourth proportional to 6,735.15, 10,103.19 and 2,293.26 is: 3,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.15 : 10,103.19 = 2,293.26 : x
  2. Step 2: Convert to fraction form
    6,735.15/10,103.19 = 2,293.26/x
  3. Step 3: Cross multiply
    6,735.15x = 10,103.19 × 2,293.26
  4. Step 4: Simplify right side
    6,735.15x = 23,169,241.50
  5. Step 5: Solve for x
    x = 23,169,241.50/6,735.15
  6. Step 6: Final answer
    x = 3,440.05

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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.