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Finding the Fourth Proportional to 5,257.51, 7,883.73 and 1,968.50

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Solution

The fourth proportional to 5,257.51, 7,883.73 and 1,968.50 is: 2,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.51 : 7,883.73 = 1,968.50 : x
  2. Step 2: Convert to fraction form
    5,257.51/7,883.73 = 1,968.50/x
  3. Step 3: Cross multiply
    5,257.51x = 7,883.73 × 1,968.50
  4. Step 4: Simplify right side
    5,257.51x = 15,519,142.21
  5. Step 5: Solve for x
    x = 15,519,142.21/5,257.51
  6. Step 6: Final answer
    x = 2,951.81

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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.