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Finding the Fourth Proportional to 6,112, 8,413.14 and 5,324.68

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Solution

The fourth proportional to 6,112, 8,413.14 and 5,324.68 is: 7,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112 : 8,413.14 = 5,324.68 : x
  2. Step 2: Convert to fraction form
    6,112/8,413.14 = 5,324.68/x
  3. Step 3: Cross multiply
    6,112x = 8,413.14 × 5,324.68
  4. Step 4: Simplify right side
    6,112x = 44,797,278.30
  5. Step 5: Solve for x
    x = 44,797,278.30/6,112
  6. Step 6: Final answer
    x = 7,329.40

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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.