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Finding the Fourth Proportional to 17,084.75, 25,630.77 and 6,696.50

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Solution

The fourth proportional to 17,084.75, 25,630.77 and 6,696.50 is: 10,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.75 : 25,630.77 = 6,696.50 : x
  2. Step 2: Convert to fraction form
    17,084.75/25,630.77 = 6,696.50/x
  3. Step 3: Cross multiply
    17,084.75x = 25,630.77 × 6,696.50
  4. Step 4: Simplify right side
    17,084.75x = 171,636,451.31
  5. Step 5: Solve for x
    x = 171,636,451.31/17,084.75
  6. Step 6: Final answer
    x = 10,046.18

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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.