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Finding the Fourth Proportional to 13,078.34, 18,048.99 and 7,413.02

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Solution

The fourth proportional to 13,078.34, 18,048.99 and 7,413.02 is: 10,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.34 : 18,048.99 = 7,413.02 : x
  2. Step 2: Convert to fraction form
    13,078.34/18,048.99 = 7,413.02/x
  3. Step 3: Cross multiply
    13,078.34x = 18,048.99 × 7,413.02
  4. Step 4: Simplify right side
    13,078.34x = 133,797,523.85
  5. Step 5: Solve for x
    x = 133,797,523.85/13,078.34
  6. Step 6: Final answer
    x = 10,230.47

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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.