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Finding the Fourth Proportional to 8,202.84, 12,302.89 and 2,655.38

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Solution

The fourth proportional to 8,202.84, 12,302.89 and 2,655.38 is: 3,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.84 : 12,302.89 = 2,655.38 : x
  2. Step 2: Convert to fraction form
    8,202.84/12,302.89 = 2,655.38/x
  3. Step 3: Cross multiply
    8,202.84x = 12,302.89 × 2,655.38
  4. Step 4: Simplify right side
    8,202.84x = 32,668,872.17
  5. Step 5: Solve for x
    x = 32,668,872.17/8,202.84
  6. Step 6: Final answer
    x = 3,982.63

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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.