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Finding the Fourth Proportional to 9,793, 13,514.34 and 5,601.34

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Solution

The fourth proportional to 9,793, 13,514.34 and 5,601.34 is: 7,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793 : 13,514.34 = 5,601.34 : x
  2. Step 2: Convert to fraction form
    9,793/13,514.34 = 5,601.34/x
  3. Step 3: Cross multiply
    9,793x = 13,514.34 × 5,601.34
  4. Step 4: Simplify right side
    9,793x = 75,698,413.22
  5. Step 5: Solve for x
    x = 75,698,413.22/9,793
  6. Step 6: Final answer
    x = 7,729.85

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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.