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Finding the Fourth Proportional to 11,668, 17,496.24 and 4,271.44

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Solution

The fourth proportional to 11,668, 17,496.24 and 4,271.44 is: 6,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668 : 17,496.24 = 4,271.44 : x
  2. Step 2: Convert to fraction form
    11,668/17,496.24 = 4,271.44/x
  3. Step 3: Cross multiply
    11,668x = 17,496.24 × 4,271.44
  4. Step 4: Simplify right side
    11,668x = 74,734,139.39
  5. Step 5: Solve for x
    x = 74,734,139.39/11,668
  6. Step 6: Final answer
    x = 6,405.05

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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.