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Finding the Fourth Proportional to 6,777.63, 10,207.10 and 5,964.80

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Solution

The fourth proportional to 6,777.63, 10,207.10 and 5,964.80 is: 8,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.63 : 10,207.10 = 5,964.80 : x
  2. Step 2: Convert to fraction form
    6,777.63/10,207.10 = 5,964.80/x
  3. Step 3: Cross multiply
    6,777.63x = 10,207.10 × 5,964.80
  4. Step 4: Simplify right side
    6,777.63x = 60,883,273.96
  5. Step 5: Solve for x
    x = 60,883,273.96/6,777.63
  6. Step 6: Final answer
    x = 8,982.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.