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Finding the Fourth Proportional to 12,254, 16,910.54 and 6,665

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Solution

The fourth proportional to 12,254, 16,910.54 and 6,665 is: 9,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254 : 16,910.54 = 6,665 : x
  2. Step 2: Convert to fraction form
    12,254/16,910.54 = 6,665/x
  3. Step 3: Cross multiply
    12,254x = 16,910.54 × 6,665
  4. Step 4: Simplify right side
    12,254x = 112,708,749.10
  5. Step 5: Solve for x
    x = 112,708,749.10/12,254
  6. Step 6: Final answer
    x = 9,197.71

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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.