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Finding the Fourth Proportional to 6,645.75, 9,969.68 and 2,262.94

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Solution

The fourth proportional to 6,645.75, 9,969.68 and 2,262.94 is: 3,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.75 : 9,969.68 = 2,262.94 : x
  2. Step 2: Convert to fraction form
    6,645.75/9,969.68 = 2,262.94/x
  3. Step 3: Cross multiply
    6,645.75x = 9,969.68 × 2,262.94
  4. Step 4: Simplify right side
    6,645.75x = 22,560,768.39
  5. Step 5: Solve for x
    x = 22,560,768.39/6,645.75
  6. Step 6: Final answer
    x = 3,394.77

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1.5x scale

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.