Home / 10,102.24-13,942.76-5,909.68

Finding the Fourth Proportional to 10,102.24, 13,942.76 and 5,909.68

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Solution

The fourth proportional to 10,102.24, 13,942.76 and 5,909.68 is: 8,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.24 : 13,942.76 = 5,909.68 : x
  2. Step 2: Convert to fraction form
    10,102.24/13,942.76 = 5,909.68/x
  3. Step 3: Cross multiply
    10,102.24x = 13,942.76 × 5,909.68
  4. Step 4: Simplify right side
    10,102.24x = 82,397,249.92
  5. Step 5: Solve for x
    x = 82,397,249.92/10,102.24
  6. Step 6: Final answer
    x = 8,156.33

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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.