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Finding the Fourth Proportional to 6,606.63, 9,906.80 and 3,834.14

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Solution

The fourth proportional to 6,606.63, 9,906.80 and 3,834.14 is: 5,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.63 : 9,906.80 = 3,834.14 : x
  2. Step 2: Convert to fraction form
    6,606.63/9,906.80 = 3,834.14/x
  3. Step 3: Cross multiply
    6,606.63x = 9,906.80 × 3,834.14
  4. Step 4: Simplify right side
    6,606.63x = 37,983,989.45
  5. Step 5: Solve for x
    x = 37,983,989.45/6,606.63
  6. Step 6: Final answer
    x = 5,749.37

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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.