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Finding the Fourth Proportional to 8,234.81, 11,363.93 and 4,508.81

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Solution

The fourth proportional to 8,234.81, 11,363.93 and 4,508.81 is: 6,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.81 : 11,363.93 = 4,508.81 : x
  2. Step 2: Convert to fraction form
    8,234.81/11,363.93 = 4,508.81/x
  3. Step 3: Cross multiply
    8,234.81x = 11,363.93 × 4,508.81
  4. Step 4: Simplify right side
    8,234.81x = 51,237,778.68
  5. Step 5: Solve for x
    x = 51,237,778.68/8,234.81
  6. Step 6: Final answer
    x = 6,222.10

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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.