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Finding the Fourth Proportional to 11,174.16, 15,413.76 and 6,975.12

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Solution

The fourth proportional to 11,174.16, 15,413.76 and 6,975.12 is: 9,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.16 : 15,413.76 = 6,975.12 : x
  2. Step 2: Convert to fraction form
    11,174.16/15,413.76 = 6,975.12/x
  3. Step 3: Cross multiply
    11,174.16x = 15,413.76 × 6,975.12
  4. Step 4: Simplify right side
    11,174.16x = 107,512,825.65
  5. Step 5: Solve for x
    x = 107,512,825.65/11,174.16
  6. Step 6: Final answer
    x = 9,621.56

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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.