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Finding the Fourth Proportional to 11,896.56, 16,412.04 and 6,859.62

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Solution

The fourth proportional to 11,896.56, 16,412.04 and 6,859.62 is: 9,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.56 : 16,412.04 = 6,859.62 : x
  2. Step 2: Convert to fraction form
    11,896.56/16,412.04 = 6,859.62/x
  3. Step 3: Cross multiply
    11,896.56x = 16,412.04 × 6,859.62
  4. Step 4: Simplify right side
    11,896.56x = 112,580,357.82
  5. Step 5: Solve for x
    x = 112,580,357.82/11,896.56
  6. Step 6: Final answer
    x = 9,463.27

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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.