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Finding the Fourth Proportional to 6,413.74, 9,619.64 and 2,030.63

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Solution

The fourth proportional to 6,413.74, 9,619.64 and 2,030.63 is: 3,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.74 : 9,619.64 = 2,030.63 : x
  2. Step 2: Convert to fraction form
    6,413.74/9,619.64 = 2,030.63/x
  3. Step 3: Cross multiply
    6,413.74x = 9,619.64 × 2,030.63
  4. Step 4: Simplify right side
    6,413.74x = 19,533,890.36
  5. Step 5: Solve for x
    x = 19,533,890.36/6,413.74
  6. Step 6: Final answer
    x = 3,045.63

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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.