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Finding the Fourth Proportional to 12,951.90, 19,423.09 and 4,629.67

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Solution

The fourth proportional to 12,951.90, 19,423.09 and 4,629.67 is: 6,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.90 : 19,423.09 = 4,629.67 : x
  2. Step 2: Convert to fraction form
    12,951.90/19,423.09 = 4,629.67/x
  3. Step 3: Cross multiply
    12,951.90x = 19,423.09 × 4,629.67
  4. Step 4: Simplify right side
    12,951.90x = 89,922,497.08
  5. Step 5: Solve for x
    x = 89,922,497.08/12,951.90
  6. Step 6: Final answer
    x = 6,942.80

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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.