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Finding the Fourth Proportional to 8,205.84, 12,301.92 and 3,821.04

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Solution

The fourth proportional to 8,205.84, 12,301.92 and 3,821.04 is: 5,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.84 : 12,301.92 = 3,821.04 : x
  2. Step 2: Convert to fraction form
    8,205.84/12,301.92 = 3,821.04/x
  3. Step 3: Cross multiply
    8,205.84x = 12,301.92 × 3,821.04
  4. Step 4: Simplify right side
    8,205.84x = 47,006,128.40
  5. Step 5: Solve for x
    x = 47,006,128.40/8,205.84
  6. Step 6: Final answer
    x = 5,728.37

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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.