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Finding the Fourth Proportional to 6,288.50, 9,434.10 and 2,128.61

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Solution

The fourth proportional to 6,288.50, 9,434.10 and 2,128.61 is: 3,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.50 : 9,434.10 = 2,128.61 : x
  2. Step 2: Convert to fraction form
    6,288.50/9,434.10 = 2,128.61/x
  3. Step 3: Cross multiply
    6,288.50x = 9,434.10 × 2,128.61
  4. Step 4: Simplify right side
    6,288.50x = 20,081,519.60
  5. Step 5: Solve for x
    x = 20,081,519.60/6,288.50
  6. Step 6: Final answer
    x = 3,193.37

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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.