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Finding the Fourth Proportional to 12,271.38, 16,934.45 and 6,966.96

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Solution

The fourth proportional to 12,271.38, 16,934.45 and 6,966.96 is: 9,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.38 : 16,934.45 = 6,966.96 : x
  2. Step 2: Convert to fraction form
    12,271.38/16,934.45 = 6,966.96/x
  3. Step 3: Cross multiply
    12,271.38x = 16,934.45 × 6,966.96
  4. Step 4: Simplify right side
    12,271.38x = 117,981,600.94
  5. Step 5: Solve for x
    x = 117,981,600.94/12,271.38
  6. Step 6: Final answer
    x = 9,614.37

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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.