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Finding the Fourth Proportional to 6,413.09, 9,612.14 and 5,684.09

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Solution

The fourth proportional to 6,413.09, 9,612.14 and 5,684.09 is: 8,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.09 : 9,612.14 = 5,684.09 : x
  2. Step 2: Convert to fraction form
    6,413.09/9,612.14 = 5,684.09/x
  3. Step 3: Cross multiply
    6,413.09x = 9,612.14 × 5,684.09
  4. Step 4: Simplify right side
    6,413.09x = 54,636,192.37
  5. Step 5: Solve for x
    x = 54,636,192.37/6,413.09
  6. Step 6: Final answer
    x = 8,519.49

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1.5x scale

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.