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Finding the Fourth Proportional to 4,817.53, 6,648.24 and 2,828.12

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Solution

The fourth proportional to 4,817.53, 6,648.24 and 2,828.12 is: 3,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.53 : 6,648.24 = 2,828.12 : x
  2. Step 2: Convert to fraction form
    4,817.53/6,648.24 = 2,828.12/x
  3. Step 3: Cross multiply
    4,817.53x = 6,648.24 × 2,828.12
  4. Step 4: Simplify right side
    4,817.53x = 18,801,992.71
  5. Step 5: Solve for x
    x = 18,801,992.71/4,817.53
  6. Step 6: Final answer
    x = 3,902.83

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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.