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Finding the Fourth Proportional to 10,164.99, 14,027.03 and 5,687.97

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Solution

The fourth proportional to 10,164.99, 14,027.03 and 5,687.97 is: 7,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.99 : 14,027.03 = 5,687.97 : x
  2. Step 2: Convert to fraction form
    10,164.99/14,027.03 = 5,687.97/x
  3. Step 3: Cross multiply
    10,164.99x = 14,027.03 × 5,687.97
  4. Step 4: Simplify right side
    10,164.99x = 79,785,297.39
  5. Step 5: Solve for x
    x = 79,785,297.39/10,164.99
  6. Step 6: Final answer
    x = 7,849.03

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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.