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Finding the Fourth Proportional to 4,157.71, 6,234.49 and 1,383.42

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Solution

The fourth proportional to 4,157.71, 6,234.49 and 1,383.42 is: 2,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.71 : 6,234.49 = 1,383.42 : x
  2. Step 2: Convert to fraction form
    4,157.71/6,234.49 = 1,383.42/x
  3. Step 3: Cross multiply
    4,157.71x = 6,234.49 × 1,383.42
  4. Step 4: Simplify right side
    4,157.71x = 8,624,899.11
  5. Step 5: Solve for x
    x = 8,624,899.11/4,157.71
  6. Step 6: Final answer
    x = 2,074.43

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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.