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Finding the Fourth Proportional to 6,893.02, 10,321.17 and 4,706.02

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Solution

The fourth proportional to 6,893.02, 10,321.17 and 4,706.02 is: 7,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.02 : 10,321.17 = 4,706.02 : x
  2. Step 2: Convert to fraction form
    6,893.02/10,321.17 = 4,706.02/x
  3. Step 3: Cross multiply
    6,893.02x = 10,321.17 × 4,706.02
  4. Step 4: Simplify right side
    6,893.02x = 48,571,632.44
  5. Step 5: Solve for x
    x = 48,571,632.44/6,893.02
  6. Step 6: Final answer
    x = 7,046.50

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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.