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Finding the Fourth Proportional to 6,212.12, 8,574.32 and 4,324.01

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Solution

The fourth proportional to 6,212.12, 8,574.32 and 4,324.01 is: 5,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.12 : 8,574.32 = 4,324.01 : x
  2. Step 2: Convert to fraction form
    6,212.12/8,574.32 = 4,324.01/x
  3. Step 3: Cross multiply
    6,212.12x = 8,574.32 × 4,324.01
  4. Step 4: Simplify right side
    6,212.12x = 37,075,413.36
  5. Step 5: Solve for x
    x = 37,075,413.36/6,212.12
  6. Step 6: Final answer
    x = 5,968.24

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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.