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Finding the Fourth Proportional to 6,166.46, 9,249.63 and 1,783.88

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Solution

The fourth proportional to 6,166.46, 9,249.63 and 1,783.88 is: 2,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.46 : 9,249.63 = 1,783.88 : x
  2. Step 2: Convert to fraction form
    6,166.46/9,249.63 = 1,783.88/x
  3. Step 3: Cross multiply
    6,166.46x = 9,249.63 × 1,783.88
  4. Step 4: Simplify right side
    6,166.46x = 16,500,229.96
  5. Step 5: Solve for x
    x = 16,500,229.96/6,166.46
  6. Step 6: Final answer
    x = 2,675.80

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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.