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Finding the Fourth Proportional to 23,299, 34,937.94 and 6,655

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Solution

The fourth proportional to 23,299, 34,937.94 and 6,655 is: 9,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,299 : 34,937.94 = 6,655 : x
  2. Step 2: Convert to fraction form
    23,299/34,937.94 = 6,655/x
  3. Step 3: Cross multiply
    23,299x = 34,937.94 × 6,655
  4. Step 4: Simplify right side
    23,299x = 232,511,990.70
  5. Step 5: Solve for x
    x = 232,511,990.70/23,299
  6. Step 6: Final answer
    x = 9,979.48

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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.