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Finding the Fourth Proportional to 6,004, 9,003.70 and 2,883.12

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Solution

The fourth proportional to 6,004, 9,003.70 and 2,883.12 is: 4,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004 : 9,003.70 = 2,883.12 : x
  2. Step 2: Convert to fraction form
    6,004/9,003.70 = 2,883.12/x
  3. Step 3: Cross multiply
    6,004x = 9,003.70 × 2,883.12
  4. Step 4: Simplify right side
    6,004x = 25,958,747.54
  5. Step 5: Solve for x
    x = 25,958,747.54/6,004
  6. Step 6: Final answer
    x = 4,323.58

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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.