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Finding the Fourth Proportional to 11,896.01, 17,927.64 and 10,711.51

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Solution

The fourth proportional to 11,896.01, 17,927.64 and 10,711.51 is: 16,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.01 : 17,927.64 = 10,711.51 : x
  2. Step 2: Convert to fraction form
    11,896.01/17,927.64 = 10,711.51/x
  3. Step 3: Cross multiply
    11,896.01x = 17,927.64 × 10,711.51
  4. Step 4: Simplify right side
    11,896.01x = 192,032,020.19
  5. Step 5: Solve for x
    x = 192,032,020.19/11,896.01
  6. Step 6: Final answer
    x = 16,142.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.