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Finding the Fourth Proportional to 10,093.90, 13,930.90 and 6,115.08

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Solution

The fourth proportional to 10,093.90, 13,930.90 and 6,115.08 is: 8,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.90 : 13,930.90 = 6,115.08 : x
  2. Step 2: Convert to fraction form
    10,093.90/13,930.90 = 6,115.08/x
  3. Step 3: Cross multiply
    10,093.90x = 13,930.90 × 6,115.08
  4. Step 4: Simplify right side
    10,093.90x = 85,188,567.97
  5. Step 5: Solve for x
    x = 85,188,567.97/10,093.90
  6. Step 6: Final answer
    x = 8,439.61

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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.