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Finding the Fourth Proportional to 12,272.44, 18,413.52 and 7,007.44

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Solution

The fourth proportional to 12,272.44, 18,413.52 and 7,007.44 is: 10,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.44 : 18,413.52 = 7,007.44 : x
  2. Step 2: Convert to fraction form
    12,272.44/18,413.52 = 7,007.44/x
  3. Step 3: Cross multiply
    12,272.44x = 18,413.52 × 7,007.44
  4. Step 4: Simplify right side
    12,272.44x = 129,031,636.59
  5. Step 5: Solve for x
    x = 129,031,636.59/12,272.44
  6. Step 6: Final answer
    x = 10,513.94

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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.