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Finding the Fourth Proportional to 6,646.60, 9,952.08 and 3,716.56

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Solution

The fourth proportional to 6,646.60, 9,952.08 and 3,716.56 is: 5,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.60 : 9,952.08 = 3,716.56 : x
  2. Step 2: Convert to fraction form
    6,646.60/9,952.08 = 3,716.56/x
  3. Step 3: Cross multiply
    6,646.60x = 9,952.08 × 3,716.56
  4. Step 4: Simplify right side
    6,646.60x = 36,987,502.44
  5. Step 5: Solve for x
    x = 36,987,502.44/6,646.60
  6. Step 6: Final answer
    x = 5,564.88

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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.