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Finding the Fourth Proportional to 8,078.92, 12,111.90 and 4,181.20

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Solution

The fourth proportional to 8,078.92, 12,111.90 and 4,181.20 is: 6,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.92 : 12,111.90 = 4,181.20 : x
  2. Step 2: Convert to fraction form
    8,078.92/12,111.90 = 4,181.20/x
  3. Step 3: Cross multiply
    8,078.92x = 12,111.90 × 4,181.20
  4. Step 4: Simplify right side
    8,078.92x = 50,642,276.28
  5. Step 5: Solve for x
    x = 50,642,276.28/8,078.92
  6. Step 6: Final answer
    x = 6,268.45

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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.