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Finding the Fourth Proportional to 11,614, 16,029.48 and 6,646

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Solution

The fourth proportional to 11,614, 16,029.48 and 6,646 is: 9,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614 : 16,029.48 = 6,646 : x
  2. Step 2: Convert to fraction form
    11,614/16,029.48 = 6,646/x
  3. Step 3: Cross multiply
    11,614x = 16,029.48 × 6,646
  4. Step 4: Simplify right side
    11,614x = 106,531,924.08
  5. Step 5: Solve for x
    x = 106,531,924.08/11,614
  6. Step 6: Final answer
    x = 9,172.72

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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.