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Finding the Fourth Proportional to 9,863.06, 14,775.15 and 8,132.90

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Solution

The fourth proportional to 9,863.06, 14,775.15 and 8,132.90 is: 12,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.06 : 14,775.15 = 8,132.90 : x
  2. Step 2: Convert to fraction form
    9,863.06/14,775.15 = 8,132.90/x
  3. Step 3: Cross multiply
    9,863.06x = 14,775.15 × 8,132.90
  4. Step 4: Simplify right side
    9,863.06x = 120,164,817.44
  5. Step 5: Solve for x
    x = 120,164,817.44/9,863.06
  6. Step 6: Final answer
    x = 12,183.32

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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.