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Finding the Fourth Proportional to 9,004, 13,500 and 3,737.64

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Solution

The fourth proportional to 9,004, 13,500 and 3,737.64 is: 5,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004 : 13,500 = 3,737.64 : x
  2. Step 2: Convert to fraction form
    9,004/13,500 = 3,737.64/x
  3. Step 3: Cross multiply
    9,004x = 13,500 × 3,737.64
  4. Step 4: Simplify right side
    9,004x = 50,458,140
  5. Step 5: Solve for x
    x = 50,458,140/9,004
  6. Step 6: Final answer
    x = 5,603.97

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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.