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Finding the Fourth Proportional to 12,778.70, 19,168.05 and 4,013.60

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Solution

The fourth proportional to 12,778.70, 19,168.05 and 4,013.60 is: 6,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.70 : 19,168.05 = 4,013.60 : x
  2. Step 2: Convert to fraction form
    12,778.70/19,168.05 = 4,013.60/x
  3. Step 3: Cross multiply
    12,778.70x = 19,168.05 × 4,013.60
  4. Step 4: Simplify right side
    12,778.70x = 76,932,885.48
  5. Step 5: Solve for x
    x = 76,932,885.48/12,778.70
  6. Step 6: Final answer
    x = 6,020.40

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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.