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Finding the Fourth Proportional to 11,462.10, 17,193.15 and 8,546.10

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Solution

The fourth proportional to 11,462.10, 17,193.15 and 8,546.10 is: 12,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.10 : 17,193.15 = 8,546.10 : x
  2. Step 2: Convert to fraction form
    11,462.10/17,193.15 = 8,546.10/x
  3. Step 3: Cross multiply
    11,462.10x = 17,193.15 × 8,546.10
  4. Step 4: Simplify right side
    11,462.10x = 146,934,379.22
  5. Step 5: Solve for x
    x = 146,934,379.22/11,462.10
  6. Step 6: Final answer
    x = 12,819.15

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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.