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Finding the Fourth Proportional to 11,764.50, 16,234.20 and 6,458.22

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Solution

The fourth proportional to 11,764.50, 16,234.20 and 6,458.22 is: 8,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.50 : 16,234.20 = 6,458.22 : x
  2. Step 2: Convert to fraction form
    11,764.50/16,234.20 = 6,458.22/x
  3. Step 3: Cross multiply
    11,764.50x = 16,234.20 × 6,458.22
  4. Step 4: Simplify right side
    11,764.50x = 104,844,035.12
  5. Step 5: Solve for x
    x = 104,844,035.12/11,764.50
  6. Step 6: Final answer
    x = 8,911.90

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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.