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Finding the Fourth Proportional to 6,413.58, 9,620.64 and 2,030.94

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Solution

The fourth proportional to 6,413.58, 9,620.64 and 2,030.94 is: 3,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.58 : 9,620.64 = 2,030.94 : x
  2. Step 2: Convert to fraction form
    6,413.58/9,620.64 = 2,030.94/x
  3. Step 3: Cross multiply
    6,413.58x = 9,620.64 × 2,030.94
  4. Step 4: Simplify right side
    6,413.58x = 19,538,942.60
  5. Step 5: Solve for x
    x = 19,538,942.60/6,413.58
  6. Step 6: Final answer
    x = 3,046.50

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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.