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Finding the Fourth Proportional to 6,668.26, 10,002.25 and 1,737.79

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Solution

The fourth proportional to 6,668.26, 10,002.25 and 1,737.79 is: 2,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.26 : 10,002.25 = 1,737.79 : x
  2. Step 2: Convert to fraction form
    6,668.26/10,002.25 = 1,737.79/x
  3. Step 3: Cross multiply
    6,668.26x = 10,002.25 × 1,737.79
  4. Step 4: Simplify right side
    6,668.26x = 17,381,810.03
  5. Step 5: Solve for x
    x = 17,381,810.03/6,668.26
  6. Step 6: Final answer
    x = 2,606.65

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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.