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Finding the Fourth Proportional to 9,003, 13,498.50 and 3,736.64

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Solution

The fourth proportional to 9,003, 13,498.50 and 3,736.64 is: 5,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003 : 13,498.50 = 3,736.64 : x
  2. Step 2: Convert to fraction form
    9,003/13,498.50 = 3,736.64/x
  3. Step 3: Cross multiply
    9,003x = 13,498.50 × 3,736.64
  4. Step 4: Simplify right side
    9,003x = 50,439,035.04
  5. Step 5: Solve for x
    x = 50,439,035.04/9,003
  6. Step 6: Final answer
    x = 5,602.47

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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.