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Finding the Fourth Proportional to 3,967, 5,472.18 and 2,474.20

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Solution

The fourth proportional to 3,967, 5,472.18 and 2,474.20 is: 3,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967 : 5,472.18 = 2,474.20 : x
  2. Step 2: Convert to fraction form
    3,967/5,472.18 = 2,474.20/x
  3. Step 3: Cross multiply
    3,967x = 5,472.18 × 2,474.20
  4. Step 4: Simplify right side
    3,967x = 13,539,267.76
  5. Step 5: Solve for x
    x = 13,539,267.76/3,967
  6. Step 6: Final answer
    x = 3,412.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.