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Finding the Fourth Proportional to 8,146.75, 12,199.44 and 6,827.03

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Solution

The fourth proportional to 8,146.75, 12,199.44 and 6,827.03 is: 10,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.75 : 12,199.44 = 6,827.03 : x
  2. Step 2: Convert to fraction form
    8,146.75/12,199.44 = 6,827.03/x
  3. Step 3: Cross multiply
    8,146.75x = 12,199.44 × 6,827.03
  4. Step 4: Simplify right side
    8,146.75x = 83,285,914.81
  5. Step 5: Solve for x
    x = 83,285,914.81/8,146.75
  6. Step 6: Final answer
    x = 10,223.21

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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.