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Finding the Fourth Proportional to 9,469.56, 14,213.13 and 4,792.86

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Solution

The fourth proportional to 9,469.56, 14,213.13 and 4,792.86 is: 7,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.56 : 14,213.13 = 4,792.86 : x
  2. Step 2: Convert to fraction form
    9,469.56/14,213.13 = 4,792.86/x
  3. Step 3: Cross multiply
    9,469.56x = 14,213.13 × 4,792.86
  4. Step 4: Simplify right side
    9,469.56x = 68,121,542.25
  5. Step 5: Solve for x
    x = 68,121,542.25/9,469.56
  6. Step 6: Final answer
    x = 7,193.74

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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.