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Finding the Fourth Proportional to 30,843.28, 46,264.76 and 7,469.72

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Solution

The fourth proportional to 30,843.28, 46,264.76 and 7,469.72 is: 11,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.28 : 46,264.76 = 7,469.72 : x
  2. Step 2: Convert to fraction form
    30,843.28/46,264.76 = 7,469.72/x
  3. Step 3: Cross multiply
    30,843.28x = 46,264.76 × 7,469.72
  4. Step 4: Simplify right side
    30,843.28x = 345,584,571.74
  5. Step 5: Solve for x
    x = 345,584,571.74/30,843.28
  6. Step 6: Final answer
    x = 11,204.54

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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.