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Finding the Fourth Proportional to 30,843.27, 46,264.91 and 7,469.71

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Solution

The fourth proportional to 30,843.27, 46,264.91 and 7,469.71 is: 11,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.27 : 46,264.91 = 7,469.71 : x
  2. Step 2: Convert to fraction form
    30,843.27/46,264.91 = 7,469.71/x
  3. Step 3: Cross multiply
    30,843.27x = 46,264.91 × 7,469.71
  4. Step 4: Simplify right side
    30,843.27x = 345,585,307.87
  5. Step 5: Solve for x
    x = 345,585,307.87/30,843.27
  6. Step 6: Final answer
    x = 11,204.56

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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.