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Finding the Fourth Proportional to 11,489.54, 17,234.06 and 6,548.67

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Solution

The fourth proportional to 11,489.54, 17,234.06 and 6,548.67 is: 9,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.54 : 17,234.06 = 6,548.67 : x
  2. Step 2: Convert to fraction form
    11,489.54/17,234.06 = 6,548.67/x
  3. Step 3: Cross multiply
    11,489.54x = 17,234.06 × 6,548.67
  4. Step 4: Simplify right side
    11,489.54x = 112,860,138.96
  5. Step 5: Solve for x
    x = 112,860,138.96/11,489.54
  6. Step 6: Final answer
    x = 9,822.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.