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Finding the Fourth Proportional to 11,785.54, 16,264 and 6,480.34

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Solution

The fourth proportional to 11,785.54, 16,264 and 6,480.34 is: 8,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.54 : 16,264 = 6,480.34 : x
  2. Step 2: Convert to fraction form
    11,785.54/16,264 = 6,480.34/x
  3. Step 3: Cross multiply
    11,785.54x = 16,264 × 6,480.34
  4. Step 4: Simplify right side
    11,785.54x = 105,396,249.76
  5. Step 5: Solve for x
    x = 105,396,249.76/11,785.54
  6. Step 6: Final answer
    x = 8,942.84

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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.