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Finding the Fourth Proportional to 3,447.75, 5,171.80 and 982.75

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Solution

The fourth proportional to 3,447.75, 5,171.80 and 982.75 is: 1,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.75 : 5,171.80 = 982.75 : x
  2. Step 2: Convert to fraction form
    3,447.75/5,171.80 = 982.75/x
  3. Step 3: Cross multiply
    3,447.75x = 5,171.80 × 982.75
  4. Step 4: Simplify right side
    3,447.75x = 5,082,586.45
  5. Step 5: Solve for x
    x = 5,082,586.45/3,447.75
  6. Step 6: Final answer
    x = 1,474.17

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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.