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Finding the Fourth Proportional to 8,181.75, 11,290.05 and 4,778.22

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Solution

The fourth proportional to 8,181.75, 11,290.05 and 4,778.22 is: 6,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.75 : 11,290.05 = 4,778.22 : x
  2. Step 2: Convert to fraction form
    8,181.75/11,290.05 = 4,778.22/x
  3. Step 3: Cross multiply
    8,181.75x = 11,290.05 × 4,778.22
  4. Step 4: Simplify right side
    8,181.75x = 53,946,342.71
  5. Step 5: Solve for x
    x = 53,946,342.71/8,181.75
  6. Step 6: Final answer
    x = 6,593.50

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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.