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Finding the Fourth Proportional to 9,157.67, 13,733.22 and 3,960.71

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Solution

The fourth proportional to 9,157.67, 13,733.22 and 3,960.71 is: 5,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.67 : 13,733.22 = 3,960.71 : x
  2. Step 2: Convert to fraction form
    9,157.67/13,733.22 = 3,960.71/x
  3. Step 3: Cross multiply
    9,157.67x = 13,733.22 × 3,960.71
  4. Step 4: Simplify right side
    9,157.67x = 54,393,301.79
  5. Step 5: Solve for x
    x = 54,393,301.79/9,157.67
  6. Step 6: Final answer
    x = 5,939.64

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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.