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Finding the Fourth Proportional to 8,632.50, 11,906.85 and 5,228.41

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Solution

The fourth proportional to 8,632.50, 11,906.85 and 5,228.41 is: 7,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.50 : 11,906.85 = 5,228.41 : x
  2. Step 2: Convert to fraction form
    8,632.50/11,906.85 = 5,228.41/x
  3. Step 3: Cross multiply
    8,632.50x = 11,906.85 × 5,228.41
  4. Step 4: Simplify right side
    8,632.50x = 62,253,893.11
  5. Step 5: Solve for x
    x = 62,253,893.11/8,632.50
  6. Step 6: Final answer
    x = 7,211.57

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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.