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Finding the Fourth Proportional to 11,900.44, 17,878.46 and 6,973.48

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Solution

The fourth proportional to 11,900.44, 17,878.46 and 6,973.48 is: 10,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.44 : 17,878.46 = 6,973.48 : x
  2. Step 2: Convert to fraction form
    11,900.44/17,878.46 = 6,973.48/x
  3. Step 3: Cross multiply
    11,900.44x = 17,878.46 × 6,973.48
  4. Step 4: Simplify right side
    11,900.44x = 124,675,083.24
  5. Step 5: Solve for x
    x = 124,675,083.24/11,900.44
  6. Step 6: Final answer
    x = 10,476.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.