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Finding the Fourth Proportional to 11,896.53, 16,409.78 and 7,653.12

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Solution

The fourth proportional to 11,896.53, 16,409.78 and 7,653.12 is: 10,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.53 : 16,409.78 = 7,653.12 : x
  2. Step 2: Convert to fraction form
    11,896.53/16,409.78 = 7,653.12/x
  3. Step 3: Cross multiply
    11,896.53x = 16,409.78 × 7,653.12
  4. Step 4: Simplify right side
    11,896.53x = 125,586,015.51
  5. Step 5: Solve for x
    x = 125,586,015.51/11,896.53
  6. Step 6: Final answer
    x = 10,556.52

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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.