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Finding the Fourth Proportional to 8,007.16, 11,958.17 and 6,824.56

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Solution

The fourth proportional to 8,007.16, 11,958.17 and 6,824.56 is: 10,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.16 : 11,958.17 = 6,824.56 : x
  2. Step 2: Convert to fraction form
    8,007.16/11,958.17 = 6,824.56/x
  3. Step 3: Cross multiply
    8,007.16x = 11,958.17 × 6,824.56
  4. Step 4: Simplify right side
    8,007.16x = 81,609,248.66
  5. Step 5: Solve for x
    x = 81,609,248.66/8,007.16
  6. Step 6: Final answer
    x = 10,192.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.