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Finding the Fourth Proportional to 10,676.43, 14,732.10 and 5,960.91

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Solution

The fourth proportional to 10,676.43, 14,732.10 and 5,960.91 is: 8,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.43 : 14,732.10 = 5,960.91 : x
  2. Step 2: Convert to fraction form
    10,676.43/14,732.10 = 5,960.91/x
  3. Step 3: Cross multiply
    10,676.43x = 14,732.10 × 5,960.91
  4. Step 4: Simplify right side
    10,676.43x = 87,816,722.21
  5. Step 5: Solve for x
    x = 87,816,722.21/10,676.43
  6. Step 6: Final answer
    x = 8,225.29

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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.