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Finding the Fourth Proportional to 6,532, 9,014.17 and 3,737.56

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Solution

The fourth proportional to 6,532, 9,014.17 and 3,737.56 is: 5,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532 : 9,014.17 = 3,737.56 : x
  2. Step 2: Convert to fraction form
    6,532/9,014.17 = 3,737.56/x
  3. Step 3: Cross multiply
    6,532x = 9,014.17 × 3,737.56
  4. Step 4: Simplify right side
    6,532x = 33,691,001.23
  5. Step 5: Solve for x
    x = 33,691,001.23/6,532
  6. Step 6: Final answer
    x = 5,157.84

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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.