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Finding the Fourth Proportional to 6,149.53, 9,223.30 and 1,765.99

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Solution

The fourth proportional to 6,149.53, 9,223.30 and 1,765.99 is: 2,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.53 : 9,223.30 = 1,765.99 : x
  2. Step 2: Convert to fraction form
    6,149.53/9,223.30 = 1,765.99/x
  3. Step 3: Cross multiply
    6,149.53x = 9,223.30 × 1,765.99
  4. Step 4: Simplify right side
    6,149.53x = 16,288,200.62
  5. Step 5: Solve for x
    x = 16,288,200.62/6,149.53
  6. Step 6: Final answer
    x = 2,648.69

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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.