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Finding the Fourth Proportional to 23,143.30, 34,716.97 and 6,503.47

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Solution

The fourth proportional to 23,143.30, 34,716.97 and 6,503.47 is: 9,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.30 : 34,716.97 = 6,503.47 : x
  2. Step 2: Convert to fraction form
    23,143.30/34,716.97 = 6,503.47/x
  3. Step 3: Cross multiply
    23,143.30x = 34,716.97 × 6,503.47
  4. Step 4: Simplify right side
    23,143.30x = 225,780,694.22
  5. Step 5: Solve for x
    x = 225,780,694.22/23,143.30
  6. Step 6: Final answer
    x = 9,755.77

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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.