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Finding the Fourth Proportional to 7,267, 10,900.50 and 1,795

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Solution

The fourth proportional to 7,267, 10,900.50 and 1,795 is: 2,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267 : 10,900.50 = 1,795 : x
  2. Step 2: Convert to fraction form
    7,267/10,900.50 = 1,795/x
  3. Step 3: Cross multiply
    7,267x = 10,900.50 × 1,795
  4. Step 4: Simplify right side
    7,267x = 19,566,397.50
  5. Step 5: Solve for x
    x = 19,566,397.50/7,267
  6. Step 6: Final answer
    x = 2,692.50

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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.