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Finding the Fourth Proportional to 6,161.50, 9,242.16 and 2,872.75

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Solution

The fourth proportional to 6,161.50, 9,242.16 and 2,872.75 is: 4,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.50 : 9,242.16 = 2,872.75 : x
  2. Step 2: Convert to fraction form
    6,161.50/9,242.16 = 2,872.75/x
  3. Step 3: Cross multiply
    6,161.50x = 9,242.16 × 2,872.75
  4. Step 4: Simplify right side
    6,161.50x = 26,550,415.14
  5. Step 5: Solve for x
    x = 26,550,415.14/6,161.50
  6. Step 6: Final answer
    x = 4,309.08

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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.