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Finding the Fourth Proportional to 12,169.75, 16,794.26 and 6,580.75

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Solution

The fourth proportional to 12,169.75, 16,794.26 and 6,580.75 is: 9,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.75 : 16,794.26 = 6,580.75 : x
  2. Step 2: Convert to fraction form
    12,169.75/16,794.26 = 6,580.75/x
  3. Step 3: Cross multiply
    12,169.75x = 16,794.26 × 6,580.75
  4. Step 4: Simplify right side
    12,169.75x = 110,518,826.50
  5. Step 5: Solve for x
    x = 110,518,826.50/12,169.75
  6. Step 6: Final answer
    x = 9,081.44

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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.