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Finding the Fourth Proportional to 8,150, 11,247.57 and 4,613.23

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Solution

The fourth proportional to 8,150, 11,247.57 and 4,613.23 is: 6,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150 : 11,247.57 = 4,613.23 : x
  2. Step 2: Convert to fraction form
    8,150/11,247.57 = 4,613.23/x
  3. Step 3: Cross multiply
    8,150x = 11,247.57 × 4,613.23
  4. Step 4: Simplify right side
    8,150x = 51,887,548.05
  5. Step 5: Solve for x
    x = 51,887,548.05/8,150
  6. Step 6: Final answer
    x = 6,366.57

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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.