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Finding the Fourth Proportional to 6,965.61, 10,451.07 and 4,194.25

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Solution

The fourth proportional to 6,965.61, 10,451.07 and 4,194.25 is: 6,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.61 : 10,451.07 = 4,194.25 : x
  2. Step 2: Convert to fraction form
    6,965.61/10,451.07 = 4,194.25/x
  3. Step 3: Cross multiply
    6,965.61x = 10,451.07 × 4,194.25
  4. Step 4: Simplify right side
    6,965.61x = 43,834,400.35
  5. Step 5: Solve for x
    x = 43,834,400.35/6,965.61
  6. Step 6: Final answer
    x = 6,292.97

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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.