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Finding the Fourth Proportional to 11,461.34, 17,188.02 and 5,456.68

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Solution

The fourth proportional to 11,461.34, 17,188.02 and 5,456.68 is: 8,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.34 : 17,188.02 = 5,456.68 : x
  2. Step 2: Convert to fraction form
    11,461.34/17,188.02 = 5,456.68/x
  3. Step 3: Cross multiply
    11,461.34x = 17,188.02 × 5,456.68
  4. Step 4: Simplify right side
    11,461.34x = 93,789,524.97
  5. Step 5: Solve for x
    x = 93,789,524.97/11,461.34
  6. Step 6: Final answer
    x = 8,183.12

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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.