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Finding the Fourth Proportional to 11,448.74, 15,799.41 and 7,467.56

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Solution

The fourth proportional to 11,448.74, 15,799.41 and 7,467.56 is: 10,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.74 : 15,799.41 = 7,467.56 : x
  2. Step 2: Convert to fraction form
    11,448.74/15,799.41 = 7,467.56/x
  3. Step 3: Cross multiply
    11,448.74x = 15,799.41 × 7,467.56
  4. Step 4: Simplify right side
    11,448.74x = 117,982,963.14
  5. Step 5: Solve for x
    x = 117,982,963.14/11,448.74
  6. Step 6: Final answer
    x = 10,305.33

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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.