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Finding the Fourth Proportional to 27,771.76, 41,657.10 and 6,995.44

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Solution

The fourth proportional to 27,771.76, 41,657.10 and 6,995.44 is: 10,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.76 : 41,657.10 = 6,995.44 : x
  2. Step 2: Convert to fraction form
    27,771.76/41,657.10 = 6,995.44/x
  3. Step 3: Cross multiply
    27,771.76x = 41,657.10 × 6,995.44
  4. Step 4: Simplify right side
    27,771.76x = 291,409,743.62
  5. Step 5: Solve for x
    x = 291,409,743.62/27,771.76
  6. Step 6: Final answer
    x = 10,493.02

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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.