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Finding the Fourth Proportional to 8,006.92, 11,049.51 and 4,649.87

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Solution

The fourth proportional to 8,006.92, 11,049.51 and 4,649.87 is: 6,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.92 : 11,049.51 = 4,649.87 : x
  2. Step 2: Convert to fraction form
    8,006.92/11,049.51 = 4,649.87/x
  3. Step 3: Cross multiply
    8,006.92x = 11,049.51 × 4,649.87
  4. Step 4: Simplify right side
    8,006.92x = 51,378,830.12
  5. Step 5: Solve for x
    x = 51,378,830.12/8,006.92
  6. Step 6: Final answer
    x = 6,416.81

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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.