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Finding the Fourth Proportional to 4,183.84, 6,275.84 and 1,262.24

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Solution

The fourth proportional to 4,183.84, 6,275.84 and 1,262.24 is: 1,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.84 : 6,275.84 = 1,262.24 : x
  2. Step 2: Convert to fraction form
    4,183.84/6,275.84 = 1,262.24/x
  3. Step 3: Cross multiply
    4,183.84x = 6,275.84 × 1,262.24
  4. Step 4: Simplify right side
    4,183.84x = 7,921,616.28
  5. Step 5: Solve for x
    x = 7,921,616.28/4,183.84
  6. Step 6: Final answer
    x = 1,893.38

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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.