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Finding the Fourth Proportional to 8,224.34, 12,325.77 and 7,181.87

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Solution

The fourth proportional to 8,224.34, 12,325.77 and 7,181.87 is: 10,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.34 : 12,325.77 = 7,181.87 : x
  2. Step 2: Convert to fraction form
    8,224.34/12,325.77 = 7,181.87/x
  3. Step 3: Cross multiply
    8,224.34x = 12,325.77 × 7,181.87
  4. Step 4: Simplify right side
    8,224.34x = 88,522,016.16
  5. Step 5: Solve for x
    x = 88,522,016.16/8,224.34
  6. Step 6: Final answer
    x = 10,763.43

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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.