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Finding the Fourth Proportional to 6,161.57, 9,228 and 4,770.43

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Solution

The fourth proportional to 6,161.57, 9,228 and 4,770.43 is: 7,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.57 : 9,228 = 4,770.43 : x
  2. Step 2: Convert to fraction form
    6,161.57/9,228 = 4,770.43/x
  3. Step 3: Cross multiply
    6,161.57x = 9,228 × 4,770.43
  4. Step 4: Simplify right side
    6,161.57x = 44,021,528.04
  5. Step 5: Solve for x
    x = 44,021,528.04/6,161.57
  6. Step 6: Final answer
    x = 7,144.53

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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.