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Finding the Fourth Proportional to 6,646.80, 9,964.92 and 3,361.20

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Solution

The fourth proportional to 6,646.80, 9,964.92 and 3,361.20 is: 5,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.80 : 9,964.92 = 3,361.20 : x
  2. Step 2: Convert to fraction form
    6,646.80/9,964.92 = 3,361.20/x
  3. Step 3: Cross multiply
    6,646.80x = 9,964.92 × 3,361.20
  4. Step 4: Simplify right side
    6,646.80x = 33,494,089.10
  5. Step 5: Solve for x
    x = 33,494,089.10/6,646.80
  6. Step 6: Final answer
    x = 5,039.13

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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.