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Finding the Fourth Proportional to 11,696.40, 16,141.08 and 6,391.34

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Solution

The fourth proportional to 11,696.40, 16,141.08 and 6,391.34 is: 8,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.40 : 16,141.08 = 6,391.34 : x
  2. Step 2: Convert to fraction form
    11,696.40/16,141.08 = 6,391.34/x
  3. Step 3: Cross multiply
    11,696.40x = 16,141.08 × 6,391.34
  4. Step 4: Simplify right side
    11,696.40x = 103,163,049.54
  5. Step 5: Solve for x
    x = 103,163,049.54/11,696.40
  6. Step 6: Final answer
    x = 8,820.07

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Half scale
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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.