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Finding the Fourth Proportional to 6,870.69, 9,481.59 and 4,219.83

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Solution

The fourth proportional to 6,870.69, 9,481.59 and 4,219.83 is: 5,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.69 : 9,481.59 = 4,219.83 : x
  2. Step 2: Convert to fraction form
    6,870.69/9,481.59 = 4,219.83/x
  3. Step 3: Cross multiply
    6,870.69x = 9,481.59 × 4,219.83
  4. Step 4: Simplify right side
    6,870.69x = 40,010,697.93
  5. Step 5: Solve for x
    x = 40,010,697.93/6,870.69
  6. Step 6: Final answer
    x = 5,823.39

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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.