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Finding the Fourth Proportional to 6,634.26, 9,945.50 and 2,471.40

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Solution

The fourth proportional to 6,634.26, 9,945.50 and 2,471.40 is: 3,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.26 : 9,945.50 = 2,471.40 : x
  2. Step 2: Convert to fraction form
    6,634.26/9,945.50 = 2,471.40/x
  3. Step 3: Cross multiply
    6,634.26x = 9,945.50 × 2,471.40
  4. Step 4: Simplify right side
    6,634.26x = 24,579,296.34
  5. Step 5: Solve for x
    x = 24,579,296.34/6,634.26
  6. Step 6: Final answer
    x = 3,704.90

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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.