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Finding the Fourth Proportional to 6,835.50, 9,435.42 and 4,041

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Solution

The fourth proportional to 6,835.50, 9,435.42 and 4,041 is: 5,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.50 : 9,435.42 = 4,041 : x
  2. Step 2: Convert to fraction form
    6,835.50/9,435.42 = 4,041/x
  3. Step 3: Cross multiply
    6,835.50x = 9,435.42 × 4,041
  4. Step 4: Simplify right side
    6,835.50x = 38,128,532.22
  5. Step 5: Solve for x
    x = 38,128,532.22/6,835.50
  6. Step 6: Final answer
    x = 5,578.02

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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.