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Finding the Fourth Proportional to 4,166.70, 6,251.85 and 2,114.70

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Solution

The fourth proportional to 4,166.70, 6,251.85 and 2,114.70 is: 3,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.70 : 6,251.85 = 2,114.70 : x
  2. Step 2: Convert to fraction form
    4,166.70/6,251.85 = 2,114.70/x
  3. Step 3: Cross multiply
    4,166.70x = 6,251.85 × 2,114.70
  4. Step 4: Simplify right side
    4,166.70x = 13,220,787.20
  5. Step 5: Solve for x
    x = 13,220,787.20/4,166.70
  6. Step 6: Final answer
    x = 3,172.96

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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.