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Finding the Fourth Proportional to 6,665.50, 9,998.49 and 2,505.07

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Solution

The fourth proportional to 6,665.50, 9,998.49 and 2,505.07 is: 3,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.50 : 9,998.49 = 2,505.07 : x
  2. Step 2: Convert to fraction form
    6,665.50/9,998.49 = 2,505.07/x
  3. Step 3: Cross multiply
    6,665.50x = 9,998.49 × 2,505.07
  4. Step 4: Simplify right side
    6,665.50x = 25,046,917.34
  5. Step 5: Solve for x
    x = 25,046,917.34/6,665.50
  6. Step 6: Final answer
    x = 3,757.70

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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.