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Finding the Fourth Proportional to 8,821.92, 12,174.46 and 4,843.02

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Solution

The fourth proportional to 8,821.92, 12,174.46 and 4,843.02 is: 6,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.92 : 12,174.46 = 4,843.02 : x
  2. Step 2: Convert to fraction form
    8,821.92/12,174.46 = 4,843.02/x
  3. Step 3: Cross multiply
    8,821.92x = 12,174.46 × 4,843.02
  4. Step 4: Simplify right side
    8,821.92x = 58,961,153.27
  5. Step 5: Solve for x
    x = 58,961,153.27/8,821.92
  6. Step 6: Final answer
    x = 6,683.48

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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.