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Finding the Fourth Proportional to 8,524.71, 11,764.83 and 4,747.74

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Solution

The fourth proportional to 8,524.71, 11,764.83 and 4,747.74 is: 6,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.71 : 11,764.83 = 4,747.74 : x
  2. Step 2: Convert to fraction form
    8,524.71/11,764.83 = 4,747.74/x
  3. Step 3: Cross multiply
    8,524.71x = 11,764.83 × 4,747.74
  4. Step 4: Simplify right side
    8,524.71x = 55,856,353.98
  5. Step 5: Solve for x
    x = 55,856,353.98/8,524.71
  6. Step 6: Final answer
    x = 6,552.29

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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.