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Finding the Fourth Proportional to 23,857.28, 35,799.98 and 9,078.62

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Solution

The fourth proportional to 23,857.28, 35,799.98 and 9,078.62 is: 13,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.28 : 35,799.98 = 9,078.62 : x
  2. Step 2: Convert to fraction form
    23,857.28/35,799.98 = 9,078.62/x
  3. Step 3: Cross multiply
    23,857.28x = 35,799.98 × 9,078.62
  4. Step 4: Simplify right side
    23,857.28x = 325,014,414.43
  5. Step 5: Solve for x
    x = 325,014,414.43/23,857.28
  6. Step 6: Final answer
    x = 13,623.28

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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.