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Finding the Fourth Proportional to 6,459, 9,692 and 5,001

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Solution

The fourth proportional to 6,459, 9,692 and 5,001 is: 7,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459 : 9,692 = 5,001 : x
  2. Step 2: Convert to fraction form
    6,459/9,692 = 5,001/x
  3. Step 3: Cross multiply
    6,459x = 9,692 × 5,001
  4. Step 4: Simplify right side
    6,459x = 48,469,692
  5. Step 5: Solve for x
    x = 48,469,692/6,459
  6. Step 6: Final answer
    x = 7,504.21

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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.