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Finding the Fourth Proportional to 11,995.91, 16,556.36 and 6,964.31

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Solution

The fourth proportional to 11,995.91, 16,556.36 and 6,964.31 is: 9,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.91 : 16,556.36 = 6,964.31 : x
  2. Step 2: Convert to fraction form
    11,995.91/16,556.36 = 6,964.31/x
  3. Step 3: Cross multiply
    11,995.91x = 16,556.36 × 6,964.31
  4. Step 4: Simplify right side
    11,995.91x = 115,303,623.51
  5. Step 5: Solve for x
    x = 115,303,623.51/11,995.91
  6. Step 6: Final answer
    x = 9,611.91

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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.