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Finding the Fourth Proportional to 6,696.61, 10,046.87 and 2,998.01

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Solution

The fourth proportional to 6,696.61, 10,046.87 and 2,998.01 is: 4,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.61 : 10,046.87 = 2,998.01 : x
  2. Step 2: Convert to fraction form
    6,696.61/10,046.87 = 2,998.01/x
  3. Step 3: Cross multiply
    6,696.61x = 10,046.87 × 2,998.01
  4. Step 4: Simplify right side
    6,696.61x = 30,120,649.34
  5. Step 5: Solve for x
    x = 30,120,649.34/6,696.61
  6. Step 6: Final answer
    x = 4,497.90

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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.