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Finding the Fourth Proportional to 8,006.55, 11,049.97 and 4,649.50

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Solution

The fourth proportional to 8,006.55, 11,049.97 and 4,649.50 is: 6,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.55 : 11,049.97 = 4,649.50 : x
  2. Step 2: Convert to fraction form
    8,006.55/11,049.97 = 4,649.50/x
  3. Step 3: Cross multiply
    8,006.55x = 11,049.97 × 4,649.50
  4. Step 4: Simplify right side
    8,006.55x = 51,376,846.42
  5. Step 5: Solve for x
    x = 51,376,846.42/8,006.55
  6. Step 6: Final answer
    x = 6,416.86

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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.