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Finding the Fourth Proportional to 6,770.16, 10,149.03 and 4,297.50

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Solution

The fourth proportional to 6,770.16, 10,149.03 and 4,297.50 is: 6,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.16 : 10,149.03 = 4,297.50 : x
  2. Step 2: Convert to fraction form
    6,770.16/10,149.03 = 4,297.50/x
  3. Step 3: Cross multiply
    6,770.16x = 10,149.03 × 4,297.50
  4. Step 4: Simplify right side
    6,770.16x = 43,615,456.43
  5. Step 5: Solve for x
    x = 43,615,456.43/6,770.16
  6. Step 6: Final answer
    x = 6,442.31

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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.