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Finding the Fourth Proportional to 14,951.38, 20,633.84 and 8,237

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Solution

The fourth proportional to 14,951.38, 20,633.84 and 8,237 is: 11,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.38 : 20,633.84 = 8,237 : x
  2. Step 2: Convert to fraction form
    14,951.38/20,633.84 = 8,237/x
  3. Step 3: Cross multiply
    14,951.38x = 20,633.84 × 8,237
  4. Step 4: Simplify right side
    14,951.38x = 169,960,940.08
  5. Step 5: Solve for x
    x = 169,960,940.08/14,951.38
  6. Step 6: Final answer
    x = 11,367.58

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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.