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Finding the Fourth Proportional to 4,952.23, 6,834.20 and 2,714.14

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Solution

The fourth proportional to 4,952.23, 6,834.20 and 2,714.14 is: 3,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.23 : 6,834.20 = 2,714.14 : x
  2. Step 2: Convert to fraction form
    4,952.23/6,834.20 = 2,714.14/x
  3. Step 3: Cross multiply
    4,952.23x = 6,834.20 × 2,714.14
  4. Step 4: Simplify right side
    4,952.23x = 18,549,013.39
  5. Step 5: Solve for x
    x = 18,549,013.39/4,952.23
  6. Step 6: Final answer
    x = 3,745.59

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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.