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Finding the Fourth Proportional to 8,006.76, 11,049.48 and 4,649.85

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Solution

The fourth proportional to 8,006.76, 11,049.48 and 4,649.85 is: 6,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.76 : 11,049.48 = 4,649.85 : x
  2. Step 2: Convert to fraction form
    8,006.76/11,049.48 = 4,649.85/x
  3. Step 3: Cross multiply
    8,006.76x = 11,049.48 × 4,649.85
  4. Step 4: Simplify right side
    8,006.76x = 51,378,424.58
  5. Step 5: Solve for x
    x = 51,378,424.58/8,006.76
  6. Step 6: Final answer
    x = 6,416.88

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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.