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Finding the Fourth Proportional to 6,004, 9,006.03 and 3,937.09

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Solution

The fourth proportional to 6,004, 9,006.03 and 3,937.09 is: 5,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004 : 9,006.03 = 3,937.09 : x
  2. Step 2: Convert to fraction form
    6,004/9,006.03 = 3,937.09/x
  3. Step 3: Cross multiply
    6,004x = 9,006.03 × 3,937.09
  4. Step 4: Simplify right side
    6,004x = 35,457,550.65
  5. Step 5: Solve for x
    x = 35,457,550.65/6,004
  6. Step 6: Final answer
    x = 5,905.65

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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.