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Finding the Fourth Proportional to 12,106.78, 16,696.26 and 7,853.41

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Solution

The fourth proportional to 12,106.78, 16,696.26 and 7,853.41 is: 10,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.78 : 16,696.26 = 7,853.41 : x
  2. Step 2: Convert to fraction form
    12,106.78/16,696.26 = 7,853.41/x
  3. Step 3: Cross multiply
    12,106.78x = 16,696.26 × 7,853.41
  4. Step 4: Simplify right side
    12,106.78x = 131,122,575.25
  5. Step 5: Solve for x
    x = 131,122,575.25/12,106.78
  6. Step 6: Final answer
    x = 10,830.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.