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Finding the Fourth Proportional to 11,951.76, 16,497.92 and 10,266.42

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Solution

The fourth proportional to 11,951.76, 16,497.92 and 10,266.42 is: 14,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.76 : 16,497.92 = 10,266.42 : x
  2. Step 2: Convert to fraction form
    11,951.76/16,497.92 = 10,266.42/x
  3. Step 3: Cross multiply
    11,951.76x = 16,497.92 × 10,266.42
  4. Step 4: Simplify right side
    11,951.76x = 169,374,575.85
  5. Step 5: Solve for x
    x = 169,374,575.85/11,951.76
  6. Step 6: Final answer
    x = 14,171.52

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1.5x scale

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.