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Finding the Fourth Proportional to 6,668.67, 10,004.54 and 2,285.87

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Solution

The fourth proportional to 6,668.67, 10,004.54 and 2,285.87 is: 3,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.67 : 10,004.54 = 2,285.87 : x
  2. Step 2: Convert to fraction form
    6,668.67/10,004.54 = 2,285.87/x
  3. Step 3: Cross multiply
    6,668.67x = 10,004.54 × 2,285.87
  4. Step 4: Simplify right side
    6,668.67x = 22,869,016.40
  5. Step 5: Solve for x
    x = 22,869,016.40/6,668.67
  6. Step 6: Final answer
    x = 3,429.32

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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.