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Finding the Fourth Proportional to 8,093.68, 11,169.12 and 4,738.48

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Solution

The fourth proportional to 8,093.68, 11,169.12 and 4,738.48 is: 6,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.68 : 11,169.12 = 4,738.48 : x
  2. Step 2: Convert to fraction form
    8,093.68/11,169.12 = 4,738.48/x
  3. Step 3: Cross multiply
    8,093.68x = 11,169.12 × 4,738.48
  4. Step 4: Simplify right side
    8,093.68x = 52,924,651.74
  5. Step 5: Solve for x
    x = 52,924,651.74/8,093.68
  6. Step 6: Final answer
    x = 6,539.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.