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Finding the Fourth Proportional to 6,451.02, 9,674.10 and 2,755.02

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Solution

The fourth proportional to 6,451.02, 9,674.10 and 2,755.02 is: 4,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.02 : 9,674.10 = 2,755.02 : x
  2. Step 2: Convert to fraction form
    6,451.02/9,674.10 = 2,755.02/x
  3. Step 3: Cross multiply
    6,451.02x = 9,674.10 × 2,755.02
  4. Step 4: Simplify right side
    6,451.02x = 26,652,338.98
  5. Step 5: Solve for x
    x = 26,652,338.98/6,451.02
  6. Step 6: Final answer
    x = 4,131.49

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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.