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Finding the Fourth Proportional to 12,951.93, 19,427.94 and 4,192.98

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Solution

The fourth proportional to 12,951.93, 19,427.94 and 4,192.98 is: 6,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.93 : 19,427.94 = 4,192.98 : x
  2. Step 2: Convert to fraction form
    12,951.93/19,427.94 = 4,192.98/x
  3. Step 3: Cross multiply
    12,951.93x = 19,427.94 × 4,192.98
  4. Step 4: Simplify right side
    12,951.93x = 81,460,963.86
  5. Step 5: Solve for x
    x = 81,460,963.86/12,951.93
  6. Step 6: Final answer
    x = 6,289.48

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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.