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Finding the Fourth Proportional to 11,676.87, 16,114.02 and 6,371.69

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Solution

The fourth proportional to 11,676.87, 16,114.02 and 6,371.69 is: 8,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.87 : 16,114.02 = 6,371.69 : x
  2. Step 2: Convert to fraction form
    11,676.87/16,114.02 = 6,371.69/x
  3. Step 3: Cross multiply
    11,676.87x = 16,114.02 × 6,371.69
  4. Step 4: Simplify right side
    11,676.87x = 102,673,516.79
  5. Step 5: Solve for x
    x = 102,673,516.79/11,676.87
  6. Step 6: Final answer
    x = 8,792.90

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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.