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Finding the Fourth Proportional to 12,859.25, 19,290.25 and 4,092.12

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Solution

The fourth proportional to 12,859.25, 19,290.25 and 4,092.12 is: 6,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.25 : 19,290.25 = 4,092.12 : x
  2. Step 2: Convert to fraction form
    12,859.25/19,290.25 = 4,092.12/x
  3. Step 3: Cross multiply
    12,859.25x = 19,290.25 × 4,092.12
  4. Step 4: Simplify right side
    12,859.25x = 78,937,959.37
  5. Step 5: Solve for x
    x = 78,937,959.37/12,859.25
  6. Step 6: Final answer
    x = 6,138.61

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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.