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Finding the Fourth Proportional to 11,646.60, 17,464.53 and 3,747.66

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Solution

The fourth proportional to 11,646.60, 17,464.53 and 3,747.66 is: 5,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.60 : 17,464.53 = 3,747.66 : x
  2. Step 2: Convert to fraction form
    11,646.60/17,464.53 = 3,747.66/x
  3. Step 3: Cross multiply
    11,646.60x = 17,464.53 × 3,747.66
  4. Step 4: Simplify right side
    11,646.60x = 65,451,120.50
  5. Step 5: Solve for x
    x = 65,451,120.50/11,646.60
  6. Step 6: Final answer
    x = 5,619.76

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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.