Home / 10,814.24-16,221.36-6,194

Finding the Fourth Proportional to 10,814.24, 16,221.36 and 6,194

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Solution

The fourth proportional to 10,814.24, 16,221.36 and 6,194 is: 9,291

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.24 : 16,221.36 = 6,194 : x
  2. Step 2: Convert to fraction form
    10,814.24/16,221.36 = 6,194/x
  3. Step 3: Cross multiply
    10,814.24x = 16,221.36 × 6,194
  4. Step 4: Simplify right side
    10,814.24x = 100,475,103.84
  5. Step 5: Solve for x
    x = 100,475,103.84/10,814.24
  6. Step 6: Final answer
    x = 9,291

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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.