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Finding the Fourth Proportional to 23,863.28, 35,809 and 9,084.64

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Solution

The fourth proportional to 23,863.28, 35,809 and 9,084.64 is: 13,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.28 : 35,809 = 9,084.64 : x
  2. Step 2: Convert to fraction form
    23,863.28/35,809 = 9,084.64/x
  3. Step 3: Cross multiply
    23,863.28x = 35,809 × 9,084.64
  4. Step 4: Simplify right side
    23,863.28x = 325,311,873.76
  5. Step 5: Solve for x
    x = 325,311,873.76/23,863.28
  6. Step 6: Final answer
    x = 13,632.32

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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.