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Finding the Fourth Proportional to 5,986.24, 8,976 and 2,474.24

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Solution

The fourth proportional to 5,986.24, 8,976 and 2,474.24 is: 3,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.24 : 8,976 = 2,474.24 : x
  2. Step 2: Convert to fraction form
    5,986.24/8,976 = 2,474.24/x
  3. Step 3: Cross multiply
    5,986.24x = 8,976 × 2,474.24
  4. Step 4: Simplify right side
    5,986.24x = 22,208,778.24
  5. Step 5: Solve for x
    x = 22,208,778.24/5,986.24
  6. Step 6: Final answer
    x = 3,709.97

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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.