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Finding the Fourth Proportional to 8,367.84, 12,549.70 and 2,821.04

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Solution

The fourth proportional to 8,367.84, 12,549.70 and 2,821.04 is: 4,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.84 : 12,549.70 = 2,821.04 : x
  2. Step 2: Convert to fraction form
    8,367.84/12,549.70 = 2,821.04/x
  3. Step 3: Cross multiply
    8,367.84x = 12,549.70 × 2,821.04
  4. Step 4: Simplify right side
    8,367.84x = 35,403,205.69
  5. Step 5: Solve for x
    x = 35,403,205.69/8,367.84
  6. Step 6: Final answer
    x = 4,230.87

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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.