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Finding the Fourth Proportional to 11,669.72, 16,104.23 and 6,364.56

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Solution

The fourth proportional to 11,669.72, 16,104.23 and 6,364.56 is: 8,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.72 : 16,104.23 = 6,364.56 : x
  2. Step 2: Convert to fraction form
    11,669.72/16,104.23 = 6,364.56/x
  3. Step 3: Cross multiply
    11,669.72x = 16,104.23 × 6,364.56
  4. Step 4: Simplify right side
    11,669.72x = 102,496,306.27
  5. Step 5: Solve for x
    x = 102,496,306.27/11,669.72
  6. Step 6: Final answer
    x = 8,783.10

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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.