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Finding the Fourth Proportional to 6,668.00, 10,002.02 and 1,737.63

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Solution

The fourth proportional to 6,668.00, 10,002.02 and 1,737.63 is: 2,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.00 : 10,002.02 = 1,737.63 : x
  2. Step 2: Convert to fraction form
    6,668.00/10,002.02 = 1,737.63/x
  3. Step 3: Cross multiply
    6,668.00x = 10,002.02 × 1,737.63
  4. Step 4: Simplify right side
    6,668.00x = 17,379,801.32
  5. Step 5: Solve for x
    x = 17,379,801.32/6,668.00
  6. Step 6: Final answer
    x = 2,606.45

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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.