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Finding the Fourth Proportional to 20,583.74, 30,883 and 8,096.85

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Solution

The fourth proportional to 20,583.74, 30,883 and 8,096.85 is: 12,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583.74 : 30,883 = 8,096.85 : x
  2. Step 2: Convert to fraction form
    20,583.74/30,883 = 8,096.85/x
  3. Step 3: Cross multiply
    20,583.74x = 30,883 × 8,096.85
  4. Step 4: Simplify right side
    20,583.74x = 250,055,018.55
  5. Step 5: Solve for x
    x = 250,055,018.55/20,583.74
  6. Step 6: Final answer
    x = 12,148.18

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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.