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Finding the Fourth Proportional to 8,202.03, 11,324.25 and 6,310.27

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Solution

The fourth proportional to 8,202.03, 11,324.25 and 6,310.27 is: 8,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.03 : 11,324.25 = 6,310.27 : x
  2. Step 2: Convert to fraction form
    8,202.03/11,324.25 = 6,310.27/x
  3. Step 3: Cross multiply
    8,202.03x = 11,324.25 × 6,310.27
  4. Step 4: Simplify right side
    8,202.03x = 71,459,088.69
  5. Step 5: Solve for x
    x = 71,459,088.69/8,202.03
  6. Step 6: Final answer
    x = 8,712.37

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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.