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Finding the Fourth Proportional to 11,952.64, 16,493.04 and 6,646.43

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Solution

The fourth proportional to 11,952.64, 16,493.04 and 6,646.43 is: 9,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.64 : 16,493.04 = 6,646.43 : x
  2. Step 2: Convert to fraction form
    11,952.64/16,493.04 = 6,646.43/x
  3. Step 3: Cross multiply
    11,952.64x = 16,493.04 × 6,646.43
  4. Step 4: Simplify right side
    11,952.64x = 109,619,877.08
  5. Step 5: Solve for x
    x = 109,619,877.08/11,952.64
  6. Step 6: Final answer
    x = 9,171.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.