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Finding the Fourth Proportional to 4,965.98, 7,450.32 and 1,847.66

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Solution

The fourth proportional to 4,965.98, 7,450.32 and 1,847.66 is: 2,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.98 : 7,450.32 = 1,847.66 : x
  2. Step 2: Convert to fraction form
    4,965.98/7,450.32 = 1,847.66/x
  3. Step 3: Cross multiply
    4,965.98x = 7,450.32 × 1,847.66
  4. Step 4: Simplify right side
    4,965.98x = 13,765,658.25
  5. Step 5: Solve for x
    x = 13,765,658.25/4,965.98
  6. Step 6: Final answer
    x = 2,771.99

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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.