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Finding the Fourth Proportional to 9,096.99, 13,649.13 and 2,857.97

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Solution

The fourth proportional to 9,096.99, 13,649.13 and 2,857.97 is: 4,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.99 : 13,649.13 = 2,857.97 : x
  2. Step 2: Convert to fraction form
    9,096.99/13,649.13 = 2,857.97/x
  3. Step 3: Cross multiply
    9,096.99x = 13,649.13 × 2,857.97
  4. Step 4: Simplify right side
    9,096.99x = 39,008,735.82
  5. Step 5: Solve for x
    x = 39,008,735.82/9,096.99
  6. Step 6: Final answer
    x = 4,288.09

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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.