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Finding the Fourth Proportional to 12,974.40, 19,423.20 and 7,790.40

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Solution

The fourth proportional to 12,974.40, 19,423.20 and 7,790.40 is: 11,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.40 : 19,423.20 = 7,790.40 : x
  2. Step 2: Convert to fraction form
    12,974.40/19,423.20 = 7,790.40/x
  3. Step 3: Cross multiply
    12,974.40x = 19,423.20 × 7,790.40
  4. Step 4: Simplify right side
    12,974.40x = 151,314,497.28
  5. Step 5: Solve for x
    x = 151,314,497.28/12,974.40
  6. Step 6: Final answer
    x = 11,662.54

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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.