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Finding the Fourth Proportional to 11,002.61, 15,183.68 and 5,966.86

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Solution

The fourth proportional to 11,002.61, 15,183.68 and 5,966.86 is: 8,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.61 : 15,183.68 = 5,966.86 : x
  2. Step 2: Convert to fraction form
    11,002.61/15,183.68 = 5,966.86/x
  3. Step 3: Cross multiply
    11,002.61x = 15,183.68 × 5,966.86
  4. Step 4: Simplify right side
    11,002.61x = 90,598,892.84
  5. Step 5: Solve for x
    x = 90,598,892.84/11,002.61
  6. Step 6: Final answer
    x = 8,234.31

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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.