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Finding the Fourth Proportional to 6,496.50, 8,965.17 and 3,702

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Solution

The fourth proportional to 6,496.50, 8,965.17 and 3,702 is: 5,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.50 : 8,965.17 = 3,702 : x
  2. Step 2: Convert to fraction form
    6,496.50/8,965.17 = 3,702/x
  3. Step 3: Cross multiply
    6,496.50x = 8,965.17 × 3,702
  4. Step 4: Simplify right side
    6,496.50x = 33,189,059.34
  5. Step 5: Solve for x
    x = 33,189,059.34/6,496.50
  6. Step 6: Final answer
    x = 5,108.76

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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.