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Finding the Fourth Proportional to 5,473.96, 8,205.65 and 1,773.67

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Solution

The fourth proportional to 5,473.96, 8,205.65 and 1,773.67 is: 2,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.96 : 8,205.65 = 1,773.67 : x
  2. Step 2: Convert to fraction form
    5,473.96/8,205.65 = 1,773.67/x
  3. Step 3: Cross multiply
    5,473.96x = 8,205.65 × 1,773.67
  4. Step 4: Simplify right side
    5,473.96x = 14,554,115.24
  5. Step 5: Solve for x
    x = 14,554,115.24/5,473.96
  6. Step 6: Final answer
    x = 2,658.79

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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.