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Finding the Fourth Proportional to 6,714.73, 10,068.49 and 5,936.59

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Solution

The fourth proportional to 6,714.73, 10,068.49 and 5,936.59 is: 8,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.73 : 10,068.49 = 5,936.59 : x
  2. Step 2: Convert to fraction form
    6,714.73/10,068.49 = 5,936.59/x
  3. Step 3: Cross multiply
    6,714.73x = 10,068.49 × 5,936.59
  4. Step 4: Simplify right side
    6,714.73x = 59,772,497.05
  5. Step 5: Solve for x
    x = 59,772,497.05/6,714.73
  6. Step 6: Final answer
    x = 8,901.70

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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.