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Finding the Fourth Proportional to 8,195.99, 12,294.21 and 2,649.36

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Solution

The fourth proportional to 8,195.99, 12,294.21 and 2,649.36 is: 3,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.99 : 12,294.21 = 2,649.36 : x
  2. Step 2: Convert to fraction form
    8,195.99/12,294.21 = 2,649.36/x
  3. Step 3: Cross multiply
    8,195.99x = 12,294.21 × 2,649.36
  4. Step 4: Simplify right side
    8,195.99x = 32,571,752.74
  5. Step 5: Solve for x
    x = 32,571,752.74/8,195.99
  6. Step 6: Final answer
    x = 3,974.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.