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Finding the Fourth Proportional to 12,658.94, 17,469.03 and 6,994.23

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Solution

The fourth proportional to 12,658.94, 17,469.03 and 6,994.23 is: 9,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.94 : 17,469.03 = 6,994.23 : x
  2. Step 2: Convert to fraction form
    12,658.94/17,469.03 = 6,994.23/x
  3. Step 3: Cross multiply
    12,658.94x = 17,469.03 × 6,994.23
  4. Step 4: Simplify right side
    12,658.94x = 122,182,413.70
  5. Step 5: Solve for x
    x = 122,182,413.70/12,658.94
  6. Step 6: Final answer
    x = 9,651.87

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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.