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Finding the Fourth Proportional to 6,634.12, 9,941.94 and 2,930.80

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Solution

The fourth proportional to 6,634.12, 9,941.94 and 2,930.80 is: 4,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.12 : 9,941.94 = 2,930.80 : x
  2. Step 2: Convert to fraction form
    6,634.12/9,941.94 = 2,930.80/x
  3. Step 3: Cross multiply
    6,634.12x = 9,941.94 × 2,930.80
  4. Step 4: Simplify right side
    6,634.12x = 29,137,837.75
  5. Step 5: Solve for x
    x = 29,137,837.75/6,634.12
  6. Step 6: Final answer
    x = 4,392.12

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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.