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Finding the Fourth Proportional to 25,963.93, 38,954.94 and 8,197.33

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Solution

The fourth proportional to 25,963.93, 38,954.94 and 8,197.33 is: 12,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.93 : 38,954.94 = 8,197.33 : x
  2. Step 2: Convert to fraction form
    25,963.93/38,954.94 = 8,197.33/x
  3. Step 3: Cross multiply
    25,963.93x = 38,954.94 × 8,197.33
  4. Step 4: Simplify right side
    25,963.93x = 319,326,498.31
  5. Step 5: Solve for x
    x = 319,326,498.31/25,963.93
  6. Step 6: Final answer
    x = 12,298.85

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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.