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Finding the Fourth Proportional to 7,413.66, 10,223 and 5,289.44

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Solution

The fourth proportional to 7,413.66, 10,223 and 5,289.44 is: 7,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.66 : 10,223 = 5,289.44 : x
  2. Step 2: Convert to fraction form
    7,413.66/10,223 = 5,289.44/x
  3. Step 3: Cross multiply
    7,413.66x = 10,223 × 5,289.44
  4. Step 4: Simplify right side
    7,413.66x = 54,073,945.12
  5. Step 5: Solve for x
    x = 54,073,945.12/7,413.66
  6. Step 6: Final answer
    x = 7,293.83

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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.