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Finding the Fourth Proportional to 11,777.98, 16,253.43 and 6,472.69

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Solution

The fourth proportional to 11,777.98, 16,253.43 and 6,472.69 is: 8,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.98 : 16,253.43 = 6,472.69 : x
  2. Step 2: Convert to fraction form
    11,777.98/16,253.43 = 6,472.69/x
  3. Step 3: Cross multiply
    11,777.98x = 16,253.43 × 6,472.69
  4. Step 4: Simplify right side
    11,777.98x = 105,203,413.83
  5. Step 5: Solve for x
    x = 105,203,413.83/11,777.98
  6. Step 6: Final answer
    x = 8,932.21

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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.