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Finding the Fourth Proportional to 6,183.70, 9,276.78 and 1,801.20

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Solution

The fourth proportional to 6,183.70, 9,276.78 and 1,801.20 is: 2,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.70 : 9,276.78 = 1,801.20 : x
  2. Step 2: Convert to fraction form
    6,183.70/9,276.78 = 1,801.20/x
  3. Step 3: Cross multiply
    6,183.70x = 9,276.78 × 1,801.20
  4. Step 4: Simplify right side
    6,183.70x = 16,709,336.14
  5. Step 5: Solve for x
    x = 16,709,336.14/6,183.70
  6. Step 6: Final answer
    x = 2,702.16

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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.