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Finding the Fourth Proportional to 6,818.42, 9,413.97 and 4,024.82

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Solution

The fourth proportional to 6,818.42, 9,413.97 and 4,024.82 is: 5,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.42 : 9,413.97 = 4,024.82 : x
  2. Step 2: Convert to fraction form
    6,818.42/9,413.97 = 4,024.82/x
  3. Step 3: Cross multiply
    6,818.42x = 9,413.97 × 4,024.82
  4. Step 4: Simplify right side
    6,818.42x = 37,889,534.74
  5. Step 5: Solve for x
    x = 37,889,534.74/6,818.42
  6. Step 6: Final answer
    x = 5,556.94

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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.