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Finding the Fourth Proportional to 10,720.43, 14,794.16 and 6,183.09

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Solution

The fourth proportional to 10,720.43, 14,794.16 and 6,183.09 is: 8,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.43 : 14,794.16 = 6,183.09 : x
  2. Step 2: Convert to fraction form
    10,720.43/14,794.16 = 6,183.09/x
  3. Step 3: Cross multiply
    10,720.43x = 14,794.16 × 6,183.09
  4. Step 4: Simplify right side
    10,720.43x = 91,473,591.84
  5. Step 5: Solve for x
    x = 91,473,591.84/10,720.43
  6. Step 6: Final answer
    x = 8,532.65

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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.