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Finding the Fourth Proportional to 6,532, 9,014.56 and 3,699.64

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Solution

The fourth proportional to 6,532, 9,014.56 and 3,699.64 is: 5,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532 : 9,014.56 = 3,699.64 : x
  2. Step 2: Convert to fraction form
    6,532/9,014.56 = 3,699.64/x
  3. Step 3: Cross multiply
    6,532x = 9,014.56 × 3,699.64
  4. Step 4: Simplify right side
    6,532x = 33,350,626.76
  5. Step 5: Solve for x
    x = 33,350,626.76/6,532
  6. Step 6: Final answer
    x = 5,105.73

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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.