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Finding the Fourth Proportional to 9,694.62, 14,541.73 and 5,525.75

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Solution

The fourth proportional to 9,694.62, 14,541.73 and 5,525.75 is: 8,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.62 : 14,541.73 = 5,525.75 : x
  2. Step 2: Convert to fraction form
    9,694.62/14,541.73 = 5,525.75/x
  3. Step 3: Cross multiply
    9,694.62x = 14,541.73 × 5,525.75
  4. Step 4: Simplify right side
    9,694.62x = 80,353,987.09
  5. Step 5: Solve for x
    x = 80,353,987.09/9,694.62
  6. Step 6: Final answer
    x = 8,288.51

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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.