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Finding the Fourth Proportional to 12,296.27, 16,966.31 and 7,818.39

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Solution

The fourth proportional to 12,296.27, 16,966.31 and 7,818.39 is: 10,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.27 : 16,966.31 = 7,818.39 : x
  2. Step 2: Convert to fraction form
    12,296.27/16,966.31 = 7,818.39/x
  3. Step 3: Cross multiply
    12,296.27x = 16,966.31 × 7,818.39
  4. Step 4: Simplify right side
    12,296.27x = 132,649,189.35
  5. Step 5: Solve for x
    x = 132,649,189.35/12,296.27
  6. Step 6: Final answer
    x = 10,787.76

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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.