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Finding the Fourth Proportional to 4,247, 6,370.33 and 2,166.96

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Solution

The fourth proportional to 4,247, 6,370.33 and 2,166.96 is: 3,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247 : 6,370.33 = 2,166.96 : x
  2. Step 2: Convert to fraction form
    4,247/6,370.33 = 2,166.96/x
  3. Step 3: Cross multiply
    4,247x = 6,370.33 × 2,166.96
  4. Step 4: Simplify right side
    4,247x = 13,804,250.30
  5. Step 5: Solve for x
    x = 13,804,250.30/4,247
  6. Step 6: Final answer
    x = 3,250.35

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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.