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Finding the Fourth Proportional to 8,013.91, 11,048.08 and 6,906.64

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Solution

The fourth proportional to 8,013.91, 11,048.08 and 6,906.64 is: 9,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.91 : 11,048.08 = 6,906.64 : x
  2. Step 2: Convert to fraction form
    8,013.91/11,048.08 = 6,906.64/x
  3. Step 3: Cross multiply
    8,013.91x = 11,048.08 × 6,906.64
  4. Step 4: Simplify right side
    8,013.91x = 76,305,076.72
  5. Step 5: Solve for x
    x = 76,305,076.72/8,013.91
  6. Step 6: Final answer
    x = 9,521.58

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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.