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Finding the Fourth Proportional to 11,914.42, 17,859.13 and 4,014.20

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Solution

The fourth proportional to 11,914.42, 17,859.13 and 4,014.20 is: 6,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.42 : 17,859.13 = 4,014.20 : x
  2. Step 2: Convert to fraction form
    11,914.42/17,859.13 = 4,014.20/x
  3. Step 3: Cross multiply
    11,914.42x = 17,859.13 × 4,014.20
  4. Step 4: Simplify right side
    11,914.42x = 71,690,119.65
  5. Step 5: Solve for x
    x = 71,690,119.65/11,914.42
  6. Step 6: Final answer
    x = 6,017.09

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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.