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Finding the Fourth Proportional to 6,668.02, 10,002.03 and 1,737.65

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Solution

The fourth proportional to 6,668.02, 10,002.03 and 1,737.65 is: 2,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.02 : 10,002.03 = 1,737.65 : x
  2. Step 2: Convert to fraction form
    6,668.02/10,002.03 = 1,737.65/x
  3. Step 3: Cross multiply
    6,668.02x = 10,002.03 × 1,737.65
  4. Step 4: Simplify right side
    6,668.02x = 17,380,027.43
  5. Step 5: Solve for x
    x = 17,380,027.43/6,668.02
  6. Step 6: Final answer
    x = 2,606.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.