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Finding the Fourth Proportional to 7,197, 10,795.50 and 2,003.01

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Solution

The fourth proportional to 7,197, 10,795.50 and 2,003.01 is: 3,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197 : 10,795.50 = 2,003.01 : x
  2. Step 2: Convert to fraction form
    7,197/10,795.50 = 2,003.01/x
  3. Step 3: Cross multiply
    7,197x = 10,795.50 × 2,003.01
  4. Step 4: Simplify right side
    7,197x = 21,623,494.46
  5. Step 5: Solve for x
    x = 21,623,494.46/7,197
  6. Step 6: Final answer
    x = 3,004.52

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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.