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Finding the Fourth Proportional to 6,677.94, 10,021 and 3,393.38

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Solution

The fourth proportional to 6,677.94, 10,021 and 3,393.38 is: 5,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.94 : 10,021 = 3,393.38 : x
  2. Step 2: Convert to fraction form
    6,677.94/10,021 = 3,393.38/x
  3. Step 3: Cross multiply
    6,677.94x = 10,021 × 3,393.38
  4. Step 4: Simplify right side
    6,677.94x = 34,005,060.98
  5. Step 5: Solve for x
    x = 34,005,060.98/6,677.94
  6. Step 6: Final answer
    x = 5,092.15

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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.