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Finding the Fourth Proportional to 12,096.96, 18,137.88 and 6,895.68

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Solution

The fourth proportional to 12,096.96, 18,137.88 and 6,895.68 is: 10,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.96 : 18,137.88 = 6,895.68 : x
  2. Step 2: Convert to fraction form
    12,096.96/18,137.88 = 6,895.68/x
  3. Step 3: Cross multiply
    12,096.96x = 18,137.88 × 6,895.68
  4. Step 4: Simplify right side
    12,096.96x = 125,073,016.36
  5. Step 5: Solve for x
    x = 125,073,016.36/12,096.96
  6. Step 6: Final answer
    x = 10,339.21

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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.