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Finding the Fourth Proportional to 8,196.75, 12,295.13 and 3,513.72

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Solution

The fourth proportional to 8,196.75, 12,295.13 and 3,513.72 is: 5,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.75 : 12,295.13 = 3,513.72 : x
  2. Step 2: Convert to fraction form
    8,196.75/12,295.13 = 3,513.72/x
  3. Step 3: Cross multiply
    8,196.75x = 12,295.13 × 3,513.72
  4. Step 4: Simplify right side
    8,196.75x = 43,201,644.18
  5. Step 5: Solve for x
    x = 43,201,644.18/8,196.75
  6. Step 6: Final answer
    x = 5,270.58

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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.