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Finding the Fourth Proportional to 6,113.97, 9,169.22 and 2,364.89

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Solution

The fourth proportional to 6,113.97, 9,169.22 and 2,364.89 is: 3,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.97 : 9,169.22 = 2,364.89 : x
  2. Step 2: Convert to fraction form
    6,113.97/9,169.22 = 2,364.89/x
  3. Step 3: Cross multiply
    6,113.97x = 9,169.22 × 2,364.89
  4. Step 4: Simplify right side
    6,113.97x = 21,684,156.75
  5. Step 5: Solve for x
    x = 21,684,156.75/6,113.97
  6. Step 6: Final answer
    x = 3,546.66

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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.