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Finding the Fourth Proportional to 8,203.05, 12,302.31 and 3,522.87

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Solution

The fourth proportional to 8,203.05, 12,302.31 and 3,522.87 is: 5,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.05 : 12,302.31 = 3,522.87 : x
  2. Step 2: Convert to fraction form
    8,203.05/12,302.31 = 3,522.87/x
  3. Step 3: Cross multiply
    8,203.05x = 12,302.31 × 3,522.87
  4. Step 4: Simplify right side
    8,203.05x = 43,339,438.83
  5. Step 5: Solve for x
    x = 43,339,438.83/8,203.05
  6. Step 6: Final answer
    x = 5,283.33

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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.