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Finding the Fourth Proportional to 4,952.48, 6,834.38 and 2,714.48

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Solution

The fourth proportional to 4,952.48, 6,834.38 and 2,714.48 is: 3,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.48 : 6,834.38 = 2,714.48 : x
  2. Step 2: Convert to fraction form
    4,952.48/6,834.38 = 2,714.48/x
  3. Step 3: Cross multiply
    4,952.48x = 6,834.38 × 2,714.48
  4. Step 4: Simplify right side
    4,952.48x = 18,551,787.82
  5. Step 5: Solve for x
    x = 18,551,787.82/4,952.48
  6. Step 6: Final answer
    x = 3,745.96

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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.