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Finding the Fourth Proportional to 25,224.77, 37,843.07 and 7,694.60

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Solution

The fourth proportional to 25,224.77, 37,843.07 and 7,694.60 is: 11,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224.77 : 37,843.07 = 7,694.60 : x
  2. Step 2: Convert to fraction form
    25,224.77/37,843.07 = 7,694.60/x
  3. Step 3: Cross multiply
    25,224.77x = 37,843.07 × 7,694.60
  4. Step 4: Simplify right side
    25,224.77x = 291,187,123.66
  5. Step 5: Solve for x
    x = 291,187,123.66/25,224.77
  6. Step 6: Final answer
    x = 11,543.70

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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.