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Finding the Fourth Proportional to 6,777.82, 10,165.10 and 1,847.48

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Solution

The fourth proportional to 6,777.82, 10,165.10 and 1,847.48 is: 2,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.82 : 10,165.10 = 1,847.48 : x
  2. Step 2: Convert to fraction form
    6,777.82/10,165.10 = 1,847.48/x
  3. Step 3: Cross multiply
    6,777.82x = 10,165.10 × 1,847.48
  4. Step 4: Simplify right side
    6,777.82x = 18,779,818.95
  5. Step 5: Solve for x
    x = 18,779,818.95/6,777.82
  6. Step 6: Final answer
    x = 2,770.78

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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.