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Finding the Fourth Proportional to 7,843.24, 10,821.48 and 5,050.36

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Solution

The fourth proportional to 7,843.24, 10,821.48 and 5,050.36 is: 6,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.24 : 10,821.48 = 5,050.36 : x
  2. Step 2: Convert to fraction form
    7,843.24/10,821.48 = 5,050.36/x
  3. Step 3: Cross multiply
    7,843.24x = 10,821.48 × 5,050.36
  4. Step 4: Simplify right side
    7,843.24x = 54,652,369.73
  5. Step 5: Solve for x
    x = 54,652,369.73/7,843.24
  6. Step 6: Final answer
    x = 6,968.09

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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.