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Finding the Fourth Proportional to 5,469.84, 8,205.56 and 1,770.84

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Solution

The fourth proportional to 5,469.84, 8,205.56 and 1,770.84 is: 2,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.84 : 8,205.56 = 1,770.84 : x
  2. Step 2: Convert to fraction form
    5,469.84/8,205.56 = 1,770.84/x
  3. Step 3: Cross multiply
    5,469.84x = 8,205.56 × 1,770.84
  4. Step 4: Simplify right side
    5,469.84x = 14,530,733.87
  5. Step 5: Solve for x
    x = 14,530,733.87/5,469.84
  6. Step 6: Final answer
    x = 2,656.52

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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.