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Finding the Fourth Proportional to 10,696.51, 16,046.68 and 3,674.70

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Solution

The fourth proportional to 10,696.51, 16,046.68 and 3,674.70 is: 5,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.51 : 16,046.68 = 3,674.70 : x
  2. Step 2: Convert to fraction form
    10,696.51/16,046.68 = 3,674.70/x
  3. Step 3: Cross multiply
    10,696.51x = 16,046.68 × 3,674.70
  4. Step 4: Simplify right side
    10,696.51x = 58,966,735.00
  5. Step 5: Solve for x
    x = 58,966,735.00/10,696.51
  6. Step 6: Final answer
    x = 5,512.71

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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.