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Finding the Fourth Proportional to 5,230.14, 7,834.86 and 3,150.69

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Solution

The fourth proportional to 5,230.14, 7,834.86 and 3,150.69 is: 4,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.14 : 7,834.86 = 3,150.69 : x
  2. Step 2: Convert to fraction form
    5,230.14/7,834.86 = 3,150.69/x
  3. Step 3: Cross multiply
    5,230.14x = 7,834.86 × 3,150.69
  4. Step 4: Simplify right side
    5,230.14x = 24,685,215.05
  5. Step 5: Solve for x
    x = 24,685,215.05/5,230.14
  6. Step 6: Final answer
    x = 4,719.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.