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Finding the Fourth Proportional to 4,952.38, 6,834.29 and 2,714.34

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Solution

The fourth proportional to 4,952.38, 6,834.29 and 2,714.34 is: 3,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.38 : 6,834.29 = 2,714.34 : x
  2. Step 2: Convert to fraction form
    4,952.38/6,834.29 = 2,714.34/x
  3. Step 3: Cross multiply
    4,952.38x = 6,834.29 × 2,714.34
  4. Step 4: Simplify right side
    4,952.38x = 18,550,567.88
  5. Step 5: Solve for x
    x = 18,550,567.88/4,952.38
  6. Step 6: Final answer
    x = 3,745.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.