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Finding the Fourth Proportional to 30,843.78, 46,265.51 and 7,470.22

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Solution

The fourth proportional to 30,843.78, 46,265.51 and 7,470.22 is: 11,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.78 : 46,265.51 = 7,470.22 : x
  2. Step 2: Convert to fraction form
    30,843.78/46,265.51 = 7,470.22/x
  3. Step 3: Cross multiply
    30,843.78x = 46,265.51 × 7,470.22
  4. Step 4: Simplify right side
    30,843.78x = 345,613,306.78
  5. Step 5: Solve for x
    x = 345,613,306.78/30,843.78
  6. Step 6: Final answer
    x = 11,205.29

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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.