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Finding the Fourth Proportional to 6,445.70, 9,668 and 2,061.98

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Solution

The fourth proportional to 6,445.70, 9,668 and 2,061.98 is: 3,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.70 : 9,668 = 2,061.98 : x
  2. Step 2: Convert to fraction form
    6,445.70/9,668 = 2,061.98/x
  3. Step 3: Cross multiply
    6,445.70x = 9,668 × 2,061.98
  4. Step 4: Simplify right side
    6,445.70x = 19,935,222.64
  5. Step 5: Solve for x
    x = 19,935,222.64/6,445.70
  6. Step 6: Final answer
    x = 3,092.79

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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.