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Finding the Fourth Proportional to 8,374.56, 11,548.20 and 7,183.64

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Solution

The fourth proportional to 8,374.56, 11,548.20 and 7,183.64 is: 9,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.56 : 11,548.20 = 7,183.64 : x
  2. Step 2: Convert to fraction form
    8,374.56/11,548.20 = 7,183.64/x
  3. Step 3: Cross multiply
    8,374.56x = 11,548.20 × 7,183.64
  4. Step 4: Simplify right side
    8,374.56x = 82,958,111.45
  5. Step 5: Solve for x
    x = 82,958,111.45/8,374.56
  6. Step 6: Final answer
    x = 9,905.97

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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.