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Finding the Fourth Proportional to 8,096.64, 11,161.32 and 4,950.72

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Solution

The fourth proportional to 8,096.64, 11,161.32 and 4,950.72 is: 6,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.64 : 11,161.32 = 4,950.72 : x
  2. Step 2: Convert to fraction form
    8,096.64/11,161.32 = 4,950.72/x
  3. Step 3: Cross multiply
    8,096.64x = 11,161.32 × 4,950.72
  4. Step 4: Simplify right side
    8,096.64x = 55,256,570.15
  5. Step 5: Solve for x
    x = 55,256,570.15/8,096.64
  6. Step 6: Final answer
    x = 6,824.63

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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.