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Finding the Fourth Proportional to 8,234.20, 11,549.75 and 8,234.20

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Solution

The fourth proportional to 8,234.20, 11,549.75 and 8,234.20 is: 11,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.20 : 11,549.75 = 8,234.20 : x
  2. Step 2: Convert to fraction form
    8,234.20/11,549.75 = 8,234.20/x
  3. Step 3: Cross multiply
    8,234.20x = 11,549.75 × 8,234.20
  4. Step 4: Simplify right side
    8,234.20x = 95,102,951.45
  5. Step 5: Solve for x
    x = 95,102,951.45/8,234.20
  6. Step 6: Final answer
    x = 11,549.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.