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Finding the Fourth Proportional to 6,668.33, 9,198.23 and 4,277.50

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Solution

The fourth proportional to 6,668.33, 9,198.23 and 4,277.50 is: 5,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.33 : 9,198.23 = 4,277.50 : x
  2. Step 2: Convert to fraction form
    6,668.33/9,198.23 = 4,277.50/x
  3. Step 3: Cross multiply
    6,668.33x = 9,198.23 × 4,277.50
  4. Step 4: Simplify right side
    6,668.33x = 39,345,446.40
  5. Step 5: Solve for x
    x = 39,345,446.40/6,668.33
  6. Step 6: Final answer
    x = 5,900.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.