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Finding the Fourth Proportional to 6,144.62, 9,211.71 and 2,859.62

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Solution

The fourth proportional to 6,144.62, 9,211.71 and 2,859.62 is: 4,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.62 : 9,211.71 = 2,859.62 : x
  2. Step 2: Convert to fraction form
    6,144.62/9,211.71 = 2,859.62/x
  3. Step 3: Cross multiply
    6,144.62x = 9,211.71 × 2,859.62
  4. Step 4: Simplify right side
    6,144.62x = 26,341,990.15
  5. Step 5: Solve for x
    x = 26,341,990.15/6,144.62
  6. Step 6: Final answer
    x = 4,287.00

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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.