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Finding the Fourth Proportional to 9,183.51, 12,671.49 and 6,346.49

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Solution

The fourth proportional to 9,183.51, 12,671.49 and 6,346.49 is: 8,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.51 : 12,671.49 = 6,346.49 : x
  2. Step 2: Convert to fraction form
    9,183.51/12,671.49 = 6,346.49/x
  3. Step 3: Cross multiply
    9,183.51x = 12,671.49 × 6,346.49
  4. Step 4: Simplify right side
    9,183.51x = 80,419,409.31
  5. Step 5: Solve for x
    x = 80,419,409.31/9,183.51
  6. Step 6: Final answer
    x = 8,756.94

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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.