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Finding the Fourth Proportional to 11,310.84, 16,874.43 and 10,698.48

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Solution

The fourth proportional to 11,310.84, 16,874.43 and 10,698.48 is: 15,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.84 : 16,874.43 = 10,698.48 : x
  2. Step 2: Convert to fraction form
    11,310.84/16,874.43 = 10,698.48/x
  3. Step 3: Cross multiply
    11,310.84x = 16,874.43 × 10,698.48
  4. Step 4: Simplify right side
    11,310.84x = 180,530,711.75
  5. Step 5: Solve for x
    x = 180,530,711.75/11,310.84
  6. Step 6: Final answer
    x = 15,960.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.