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Finding the Fourth Proportional to 4,982.70, 7,474.05 and 4,180.80

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Solution

The fourth proportional to 4,982.70, 7,474.05 and 4,180.80 is: 6,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.70 : 7,474.05 = 4,180.80 : x
  2. Step 2: Convert to fraction form
    4,982.70/7,474.05 = 4,180.80/x
  3. Step 3: Cross multiply
    4,982.70x = 7,474.05 × 4,180.80
  4. Step 4: Simplify right side
    4,982.70x = 31,247,508.24
  5. Step 5: Solve for x
    x = 31,247,508.24/4,982.70
  6. Step 6: Final answer
    x = 6,271.20

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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.