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Finding the Fourth Proportional to 6,103.74, 9,157 and 2,208.15

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Solution

The fourth proportional to 6,103.74, 9,157 and 2,208.15 is: 3,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.74 : 9,157 = 2,208.15 : x
  2. Step 2: Convert to fraction form
    6,103.74/9,157 = 2,208.15/x
  3. Step 3: Cross multiply
    6,103.74x = 9,157 × 2,208.15
  4. Step 4: Simplify right side
    6,103.74x = 20,220,029.55
  5. Step 5: Solve for x
    x = 20,220,029.55/6,103.74
  6. Step 6: Final answer
    x = 3,312.73

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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.