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Finding the Fourth Proportional to 6,179.72, 9,263.82 and 2,283.08

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Solution

The fourth proportional to 6,179.72, 9,263.82 and 2,283.08 is: 3,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.72 : 9,263.82 = 2,283.08 : x
  2. Step 2: Convert to fraction form
    6,179.72/9,263.82 = 2,283.08/x
  3. Step 3: Cross multiply
    6,179.72x = 9,263.82 × 2,283.08
  4. Step 4: Simplify right side
    6,179.72x = 21,150,042.17
  5. Step 5: Solve for x
    x = 21,150,042.17/6,179.72
  6. Step 6: Final answer
    x = 3,422.49

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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.