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Finding the Fourth Proportional to 12,327, 17,011.26 and 6,738

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Solution

The fourth proportional to 12,327, 17,011.26 and 6,738 is: 9,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327 : 17,011.26 = 6,738 : x
  2. Step 2: Convert to fraction form
    12,327/17,011.26 = 6,738/x
  3. Step 3: Cross multiply
    12,327x = 17,011.26 × 6,738
  4. Step 4: Simplify right side
    12,327x = 114,621,869.88
  5. Step 5: Solve for x
    x = 114,621,869.88/12,327
  6. Step 6: Final answer
    x = 9,298.44

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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.