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Finding the Fourth Proportional to 9,310.90, 13,971.09 and 6,193.09

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Solution

The fourth proportional to 9,310.90, 13,971.09 and 6,193.09 is: 9,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.90 : 13,971.09 = 6,193.09 : x
  2. Step 2: Convert to fraction form
    9,310.90/13,971.09 = 6,193.09/x
  3. Step 3: Cross multiply
    9,310.90x = 13,971.09 × 6,193.09
  4. Step 4: Simplify right side
    9,310.90x = 86,524,217.77
  5. Step 5: Solve for x
    x = 86,524,217.77/9,310.90
  6. Step 6: Final answer
    x = 9,292.79

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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.