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Finding the Fourth Proportional to 6,821.96, 9,413.06 and 4,302.32

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Solution

The fourth proportional to 6,821.96, 9,413.06 and 4,302.32 is: 5,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.96 : 9,413.06 = 4,302.32 : x
  2. Step 2: Convert to fraction form
    6,821.96/9,413.06 = 4,302.32/x
  3. Step 3: Cross multiply
    6,821.96x = 9,413.06 × 4,302.32
  4. Step 4: Simplify right side
    6,821.96x = 40,497,996.30
  5. Step 5: Solve for x
    x = 40,497,996.30/6,821.96
  6. Step 6: Final answer
    x = 5,936.42

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1.5x scale

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.