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Finding the Fourth Proportional to 11,896.70, 16,410.00 and 7,653.29

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Solution

The fourth proportional to 11,896.70, 16,410.00 and 7,653.29 is: 10,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.70 : 16,410.00 = 7,653.29 : x
  2. Step 2: Convert to fraction form
    11,896.70/16,410.00 = 7,653.29/x
  3. Step 3: Cross multiply
    11,896.70x = 16,410.00 × 7,653.29
  4. Step 4: Simplify right side
    11,896.70x = 125,590,414.02
  5. Step 5: Solve for x
    x = 125,590,414.02/11,896.70
  6. Step 6: Final answer
    x = 10,556.75

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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.