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Finding the Fourth Proportional to 4,142.12, 6,202.62 and 4,019

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Solution

The fourth proportional to 4,142.12, 6,202.62 and 4,019 is: 6,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.12 : 6,202.62 = 4,019 : x
  2. Step 2: Convert to fraction form
    4,142.12/6,202.62 = 4,019/x
  3. Step 3: Cross multiply
    4,142.12x = 6,202.62 × 4,019
  4. Step 4: Simplify right side
    4,142.12x = 24,928,329.78
  5. Step 5: Solve for x
    x = 24,928,329.78/4,142.12
  6. Step 6: Final answer
    x = 6,018.25

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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.