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Finding the Fourth Proportional to 9,162.44, 13,713.24 and 8,342.60

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Solution

The fourth proportional to 9,162.44, 13,713.24 and 8,342.60 is: 12,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.44 : 13,713.24 = 8,342.60 : x
  2. Step 2: Convert to fraction form
    9,162.44/13,713.24 = 8,342.60/x
  3. Step 3: Cross multiply
    9,162.44x = 13,713.24 × 8,342.60
  4. Step 4: Simplify right side
    9,162.44x = 114,404,076.02
  5. Step 5: Solve for x
    x = 114,404,076.02/9,162.44
  6. Step 6: Final answer
    x = 12,486.20

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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.