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Finding the Fourth Proportional to 30,843.32, 46,265.10 and 7,469.78

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Solution

The fourth proportional to 30,843.32, 46,265.10 and 7,469.78 is: 11,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.32 : 46,265.10 = 7,469.78 : x
  2. Step 2: Convert to fraction form
    30,843.32/46,265.10 = 7,469.78/x
  3. Step 3: Cross multiply
    30,843.32x = 46,265.10 × 7,469.78
  4. Step 4: Simplify right side
    30,843.32x = 345,590,118.68
  5. Step 5: Solve for x
    x = 345,590,118.68/30,843.32
  6. Step 6: Final answer
    x = 11,204.70

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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.