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Finding the Fourth Proportional to 11,623.77, 16,041.11 and 6,843.96

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Solution

The fourth proportional to 11,623.77, 16,041.11 and 6,843.96 is: 9,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.77 : 16,041.11 = 6,843.96 : x
  2. Step 2: Convert to fraction form
    11,623.77/16,041.11 = 6,843.96/x
  3. Step 3: Cross multiply
    11,623.77x = 16,041.11 × 6,843.96
  4. Step 4: Simplify right side
    11,623.77x = 109,784,680.98
  5. Step 5: Solve for x
    x = 109,784,680.98/11,623.77
  6. Step 6: Final answer
    x = 9,444.84

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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.