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Finding the Fourth Proportional to 9,096.75, 12,546.74 and 8,032.64

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Solution

The fourth proportional to 9,096.75, 12,546.74 and 8,032.64 is: 11,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.75 : 12,546.74 = 8,032.64 : x
  2. Step 2: Convert to fraction form
    9,096.75/12,546.74 = 8,032.64/x
  3. Step 3: Cross multiply
    9,096.75x = 12,546.74 × 8,032.64
  4. Step 4: Simplify right side
    9,096.75x = 100,783,342.70
  5. Step 5: Solve for x
    x = 100,783,342.70/9,096.75
  6. Step 6: Final answer
    x = 11,079.05

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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.