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Finding the Fourth Proportional to 6,935.92, 10,413.14 and 5,902.56

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Solution

The fourth proportional to 6,935.92, 10,413.14 and 5,902.56 is: 8,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.92 : 10,413.14 = 5,902.56 : x
  2. Step 2: Convert to fraction form
    6,935.92/10,413.14 = 5,902.56/x
  3. Step 3: Cross multiply
    6,935.92x = 10,413.14 × 5,902.56
  4. Step 4: Simplify right side
    6,935.92x = 61,464,154.13
  5. Step 5: Solve for x
    x = 61,464,154.13/6,935.92
  6. Step 6: Final answer
    x = 8,861.72

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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.