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Finding the Fourth Proportional to 8,181.42, 12,252.83 and 4,008.30

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Solution

The fourth proportional to 8,181.42, 12,252.83 and 4,008.30 is: 6,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.42 : 12,252.83 = 4,008.30 : x
  2. Step 2: Convert to fraction form
    8,181.42/12,252.83 = 4,008.30/x
  3. Step 3: Cross multiply
    8,181.42x = 12,252.83 × 4,008.30
  4. Step 4: Simplify right side
    8,181.42x = 49,112,998.45
  5. Step 5: Solve for x
    x = 49,112,998.45/8,181.42
  6. Step 6: Final answer
    x = 6,002.99

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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.