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Finding the Fourth Proportional to 6,664.29, 9,996.10 and 2,503.98

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Solution

The fourth proportional to 6,664.29, 9,996.10 and 2,503.98 is: 3,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.29 : 9,996.10 = 2,503.98 : x
  2. Step 2: Convert to fraction form
    6,664.29/9,996.10 = 2,503.98/x
  3. Step 3: Cross multiply
    6,664.29x = 9,996.10 × 2,503.98
  4. Step 4: Simplify right side
    6,664.29x = 25,030,063.37
  5. Step 5: Solve for x
    x = 25,030,063.37/6,664.29
  6. Step 6: Final answer
    x = 3,755.85

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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.