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Finding the Fourth Proportional to 7,066, 10,599 and 2,202

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Solution

The fourth proportional to 7,066, 10,599 and 2,202 is: 3,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066 : 10,599 = 2,202 : x
  2. Step 2: Convert to fraction form
    7,066/10,599 = 2,202/x
  3. Step 3: Cross multiply
    7,066x = 10,599 × 2,202
  4. Step 4: Simplify right side
    7,066x = 23,338,998
  5. Step 5: Solve for x
    x = 23,338,998/7,066
  6. Step 6: Final answer
    x = 3,303

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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.