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Finding the Fourth Proportional to 6,646.96, 9,969.84 and 2,029.96

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Solution

The fourth proportional to 6,646.96, 9,969.84 and 2,029.96 is: 3,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.96 : 9,969.84 = 2,029.96 : x
  2. Step 2: Convert to fraction form
    6,646.96/9,969.84 = 2,029.96/x
  3. Step 3: Cross multiply
    6,646.96x = 9,969.84 × 2,029.96
  4. Step 4: Simplify right side
    6,646.96x = 20,238,376.41
  5. Step 5: Solve for x
    x = 20,238,376.41/6,646.96
  6. Step 6: Final answer
    x = 3,044.76

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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.