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Finding the Fourth Proportional to 4,930.53, 6,803.37 and 2,834.25

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Solution

The fourth proportional to 4,930.53, 6,803.37 and 2,834.25 is: 3,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.53 : 6,803.37 = 2,834.25 : x
  2. Step 2: Convert to fraction form
    4,930.53/6,803.37 = 2,834.25/x
  3. Step 3: Cross multiply
    4,930.53x = 6,803.37 × 2,834.25
  4. Step 4: Simplify right side
    4,930.53x = 19,282,451.42
  5. Step 5: Solve for x
    x = 19,282,451.42/4,930.53
  6. Step 6: Final answer
    x = 3,910.83

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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.