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Finding the Fourth Proportional to 23,830.94, 35,734.89 and 7,187.87

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Solution

The fourth proportional to 23,830.94, 35,734.89 and 7,187.87 is: 10,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.94 : 35,734.89 = 7,187.87 : x
  2. Step 2: Convert to fraction form
    23,830.94/35,734.89 = 7,187.87/x
  3. Step 3: Cross multiply
    23,830.94x = 35,734.89 × 7,187.87
  4. Step 4: Simplify right side
    23,830.94x = 256,857,743.78
  5. Step 5: Solve for x
    x = 256,857,743.78/23,830.94
  6. Step 6: Final answer
    x = 10,778.33

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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.