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Finding the Fourth Proportional to 11,967.94, 17,954.48 and 3,648.64

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Solution

The fourth proportional to 11,967.94, 17,954.48 and 3,648.64 is: 5,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.94 : 17,954.48 = 3,648.64 : x
  2. Step 2: Convert to fraction form
    11,967.94/17,954.48 = 3,648.64/x
  3. Step 3: Cross multiply
    11,967.94x = 17,954.48 × 3,648.64
  4. Step 4: Simplify right side
    11,967.94x = 65,509,433.91
  5. Step 5: Solve for x
    x = 65,509,433.91/11,967.94
  6. Step 6: Final answer
    x = 5,473.74

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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.