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Finding the Fourth Proportional to 6,914, 9,541 and 3,770.16

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Solution

The fourth proportional to 6,914, 9,541 and 3,770.16 is: 5,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914 : 9,541 = 3,770.16 : x
  2. Step 2: Convert to fraction form
    6,914/9,541 = 3,770.16/x
  3. Step 3: Cross multiply
    6,914x = 9,541 × 3,770.16
  4. Step 4: Simplify right side
    6,914x = 35,971,096.56
  5. Step 5: Solve for x
    x = 35,971,096.56/6,914
  6. Step 6: Final answer
    x = 5,202.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.