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Finding the Fourth Proportional to 11,896.68, 16,415.16 and 7,648.50

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Solution

The fourth proportional to 11,896.68, 16,415.16 and 7,648.50 is: 10,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.68 : 16,415.16 = 7,648.50 : x
  2. Step 2: Convert to fraction form
    11,896.68/16,415.16 = 7,648.50/x
  3. Step 3: Cross multiply
    11,896.68x = 16,415.16 × 7,648.50
  4. Step 4: Simplify right side
    11,896.68x = 125,551,351.26
  5. Step 5: Solve for x
    x = 125,551,351.26/11,896.68
  6. Step 6: Final answer
    x = 10,553.48

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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.