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Finding the Fourth Proportional to 6,183.64, 8,533.12 and 3,494.91

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Solution

The fourth proportional to 6,183.64, 8,533.12 and 3,494.91 is: 4,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.64 : 8,533.12 = 3,494.91 : x
  2. Step 2: Convert to fraction form
    6,183.64/8,533.12 = 3,494.91/x
  3. Step 3: Cross multiply
    6,183.64x = 8,533.12 × 3,494.91
  4. Step 4: Simplify right side
    6,183.64x = 29,822,486.42
  5. Step 5: Solve for x
    x = 29,822,486.42/6,183.64
  6. Step 6: Final answer
    x = 4,822.80

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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.