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Finding the Fourth Proportional to 8,003.36, 11,024 and 5,641.44

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Solution

The fourth proportional to 8,003.36, 11,024 and 5,641.44 is: 7,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.36 : 11,024 = 5,641.44 : x
  2. Step 2: Convert to fraction form
    8,003.36/11,024 = 5,641.44/x
  3. Step 3: Cross multiply
    8,003.36x = 11,024 × 5,641.44
  4. Step 4: Simplify right side
    8,003.36x = 62,191,234.56
  5. Step 5: Solve for x
    x = 62,191,234.56/8,003.36
  6. Step 6: Final answer
    x = 7,770.64

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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.