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Finding the Fourth Proportional to 8,183.58, 12,276.90 and 4,483.77

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Solution

The fourth proportional to 8,183.58, 12,276.90 and 4,483.77 is: 6,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.58 : 12,276.90 = 4,483.77 : x
  2. Step 2: Convert to fraction form
    8,183.58/12,276.90 = 4,483.77/x
  3. Step 3: Cross multiply
    8,183.58x = 12,276.90 × 4,483.77
  4. Step 4: Simplify right side
    8,183.58x = 55,046,795.91
  5. Step 5: Solve for x
    x = 55,046,795.91/8,183.58
  6. Step 6: Final answer
    x = 6,726.49

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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.