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Finding the Fourth Proportional to 6,511.26, 9,768.10 and 3,048.50

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Solution

The fourth proportional to 6,511.26, 9,768.10 and 3,048.50 is: 4,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.26 : 9,768.10 = 3,048.50 : x
  2. Step 2: Convert to fraction form
    6,511.26/9,768.10 = 3,048.50/x
  3. Step 3: Cross multiply
    6,511.26x = 9,768.10 × 3,048.50
  4. Step 4: Simplify right side
    6,511.26x = 29,778,052.85
  5. Step 5: Solve for x
    x = 29,778,052.85/6,511.26
  6. Step 6: Final answer
    x = 4,573.32

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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.