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Finding the Fourth Proportional to 12,097, 16,694.94 and 6,792.04

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Solution

The fourth proportional to 12,097, 16,694.94 and 6,792.04 is: 9,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097 : 16,694.94 = 6,792.04 : x
  2. Step 2: Convert to fraction form
    12,097/16,694.94 = 6,792.04/x
  3. Step 3: Cross multiply
    12,097x = 16,694.94 × 6,792.04
  4. Step 4: Simplify right side
    12,097x = 113,392,700.28
  5. Step 5: Solve for x
    x = 113,392,700.28/12,097
  6. Step 6: Final answer
    x = 9,373.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.