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Finding the Fourth Proportional to 12,096.80, 16,974.40 and 12,096.80

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Solution

The fourth proportional to 12,096.80, 16,974.40 and 12,096.80 is: 16,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.80 : 16,974.40 = 12,096.80 : x
  2. Step 2: Convert to fraction form
    12,096.80/16,974.40 = 12,096.80/x
  3. Step 3: Cross multiply
    12,096.80x = 16,974.40 × 12,096.80
  4. Step 4: Simplify right side
    12,096.80x = 205,335,921.92
  5. Step 5: Solve for x
    x = 205,335,921.92/12,096.80
  6. Step 6: Final answer
    x = 16,974.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.