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Finding the Fourth Proportional to 8,183.90, 12,253.16 and 5,965.32

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Solution

The fourth proportional to 8,183.90, 12,253.16 and 5,965.32 is: 8,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.90 : 12,253.16 = 5,965.32 : x
  2. Step 2: Convert to fraction form
    8,183.90/12,253.16 = 5,965.32/x
  3. Step 3: Cross multiply
    8,183.90x = 12,253.16 × 5,965.32
  4. Step 4: Simplify right side
    8,183.90x = 73,094,020.41
  5. Step 5: Solve for x
    x = 73,094,020.41/8,183.90
  6. Step 6: Final answer
    x = 8,931.44

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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.