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Finding the Fourth Proportional to 11,659.92, 16,089.36 and 6,943.30

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Solution

The fourth proportional to 11,659.92, 16,089.36 and 6,943.30 is: 9,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.92 : 16,089.36 = 6,943.30 : x
  2. Step 2: Convert to fraction form
    11,659.92/16,089.36 = 6,943.30/x
  3. Step 3: Cross multiply
    11,659.92x = 16,089.36 × 6,943.30
  4. Step 4: Simplify right side
    11,659.92x = 111,713,253.29
  5. Step 5: Solve for x
    x = 111,713,253.29/11,659.92
  6. Step 6: Final answer
    x = 9,580.96

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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.