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Finding the Fourth Proportional to 23,503.97, 35,257.10 and 7,707.61

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Solution

The fourth proportional to 23,503.97, 35,257.10 and 7,707.61 is: 11,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.97 : 35,257.10 = 7,707.61 : x
  2. Step 2: Convert to fraction form
    23,503.97/35,257.10 = 7,707.61/x
  3. Step 3: Cross multiply
    23,503.97x = 35,257.10 × 7,707.61
  4. Step 4: Simplify right side
    23,503.97x = 271,747,805.42
  5. Step 5: Solve for x
    x = 271,747,805.42/23,503.97
  6. Step 6: Final answer
    x = 11,561.78

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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.