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Finding the Fourth Proportional to 8,383.50, 12,563.55 and 6,301.06

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Solution

The fourth proportional to 8,383.50, 12,563.55 and 6,301.06 is: 9,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.50 : 12,563.55 = 6,301.06 : x
  2. Step 2: Convert to fraction form
    8,383.50/12,563.55 = 6,301.06/x
  3. Step 3: Cross multiply
    8,383.50x = 12,563.55 × 6,301.06
  4. Step 4: Simplify right side
    8,383.50x = 79,163,650.95
  5. Step 5: Solve for x
    x = 79,163,650.95/8,383.50
  6. Step 6: Final answer
    x = 9,442.79

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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.