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Finding the Fourth Proportional to 4,363.82, 6,546.10 and 4,142.42

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Solution

The fourth proportional to 4,363.82, 6,546.10 and 4,142.42 is: 6,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.82 : 6,546.10 = 4,142.42 : x
  2. Step 2: Convert to fraction form
    4,363.82/6,546.10 = 4,142.42/x
  3. Step 3: Cross multiply
    4,363.82x = 6,546.10 × 4,142.42
  4. Step 4: Simplify right side
    4,363.82x = 27,116,695.56
  5. Step 5: Solve for x
    x = 27,116,695.56/4,363.82
  6. Step 6: Final answer
    x = 6,213.98

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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.