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Finding the Fourth Proportional to 11,659.43, 16,089.99 and 6,354.23

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Solution

The fourth proportional to 11,659.43, 16,089.99 and 6,354.23 is: 8,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.43 : 16,089.99 = 6,354.23 : x
  2. Step 2: Convert to fraction form
    11,659.43/16,089.99 = 6,354.23/x
  3. Step 3: Cross multiply
    11,659.43x = 16,089.99 × 6,354.23
  4. Step 4: Simplify right side
    11,659.43x = 102,239,497.16
  5. Step 5: Solve for x
    x = 102,239,497.16/11,659.43
  6. Step 6: Final answer
    x = 8,768.82

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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.