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Finding the Fourth Proportional to 6,906.84, 10,360.30 and 2,524.28

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Solution

The fourth proportional to 6,906.84, 10,360.30 and 2,524.28 is: 3,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.84 : 10,360.30 = 2,524.28 : x
  2. Step 2: Convert to fraction form
    6,906.84/10,360.30 = 2,524.28/x
  3. Step 3: Cross multiply
    6,906.84x = 10,360.30 × 2,524.28
  4. Step 4: Simplify right side
    6,906.84x = 26,152,298.08
  5. Step 5: Solve for x
    x = 26,152,298.08/6,906.84
  6. Step 6: Final answer
    x = 3,786.43

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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.