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Finding the Fourth Proportional to 8,521.22, 12,771.06 and 3,836.24

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Solution

The fourth proportional to 8,521.22, 12,771.06 and 3,836.24 is: 5,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.22 : 12,771.06 = 3,836.24 : x
  2. Step 2: Convert to fraction form
    8,521.22/12,771.06 = 3,836.24/x
  3. Step 3: Cross multiply
    8,521.22x = 12,771.06 × 3,836.24
  4. Step 4: Simplify right side
    8,521.22x = 48,992,851.21
  5. Step 5: Solve for x
    x = 48,992,851.21/8,521.22
  6. Step 6: Final answer
    x = 5,749.51

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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.