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Finding the Fourth Proportional to 9,005, 13,501.50 and 3,738.64

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Solution

The fourth proportional to 9,005, 13,501.50 and 3,738.64 is: 5,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005 : 13,501.50 = 3,738.64 : x
  2. Step 2: Convert to fraction form
    9,005/13,501.50 = 3,738.64/x
  3. Step 3: Cross multiply
    9,005x = 13,501.50 × 3,738.64
  4. Step 4: Simplify right side
    9,005x = 50,477,247.96
  5. Step 5: Solve for x
    x = 50,477,247.96/9,005
  6. Step 6: Final answer
    x = 5,605.47

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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.