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Finding the Fourth Proportional to 6,646, 9,969.02 and 2,029

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Solution

The fourth proportional to 6,646, 9,969.02 and 2,029 is: 3,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646 : 9,969.02 = 2,029 : x
  2. Step 2: Convert to fraction form
    6,646/9,969.02 = 2,029/x
  3. Step 3: Cross multiply
    6,646x = 9,969.02 × 2,029
  4. Step 4: Simplify right side
    6,646x = 20,227,141.58
  5. Step 5: Solve for x
    x = 20,227,141.58/6,646
  6. Step 6: Final answer
    x = 3,043.51

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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.