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Finding the Fourth Proportional to 6,103.99, 9,155.35 and 4,142.22

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Solution

The fourth proportional to 6,103.99, 9,155.35 and 4,142.22 is: 6,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.99 : 9,155.35 = 4,142.22 : x
  2. Step 2: Convert to fraction form
    6,103.99/9,155.35 = 4,142.22/x
  3. Step 3: Cross multiply
    6,103.99x = 9,155.35 × 4,142.22
  4. Step 4: Simplify right side
    6,103.99x = 37,923,473.88
  5. Step 5: Solve for x
    x = 37,923,473.88/6,103.99
  6. Step 6: Final answer
    x = 6,212.90

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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.