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Finding the Fourth Proportional to 25,853.92, 38,782.88 and 8,324.28

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Solution

The fourth proportional to 25,853.92, 38,782.88 and 8,324.28 is: 12,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.92 : 38,782.88 = 8,324.28 : x
  2. Step 2: Convert to fraction form
    25,853.92/38,782.88 = 8,324.28/x
  3. Step 3: Cross multiply
    25,853.92x = 38,782.88 × 8,324.28
  4. Step 4: Simplify right side
    25,853.92x = 322,839,552.33
  5. Step 5: Solve for x
    x = 322,839,552.33/25,853.92
  6. Step 6: Final answer
    x = 12,487.06

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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.