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Finding the Fourth Proportional to 11,698.56, 16,141.44 and 6,982.08

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Solution

The fourth proportional to 11,698.56, 16,141.44 and 6,982.08 is: 9,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.56 : 16,141.44 = 6,982.08 : x
  2. Step 2: Convert to fraction form
    11,698.56/16,141.44 = 6,982.08/x
  3. Step 3: Cross multiply
    11,698.56x = 16,141.44 × 6,982.08
  4. Step 4: Simplify right side
    11,698.56x = 112,700,825.40
  5. Step 5: Solve for x
    x = 112,700,825.40/11,698.56
  6. Step 6: Final answer
    x = 9,633.73

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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.