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Finding the Fourth Proportional to 6,646.53, 9,967.31 and 2,203.38

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Solution

The fourth proportional to 6,646.53, 9,967.31 and 2,203.38 is: 3,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.53 : 9,967.31 = 2,203.38 : x
  2. Step 2: Convert to fraction form
    6,646.53/9,967.31 = 2,203.38/x
  3. Step 3: Cross multiply
    6,646.53x = 9,967.31 × 2,203.38
  4. Step 4: Simplify right side
    6,646.53x = 21,961,777.02
  5. Step 5: Solve for x
    x = 21,961,777.02/6,646.53
  6. Step 6: Final answer
    x = 3,304.25

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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.