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Finding the Fourth Proportional to 8,064.94, 11,102.31 and 6,939.34

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Solution

The fourth proportional to 8,064.94, 11,102.31 and 6,939.34 is: 9,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.94 : 11,102.31 = 6,939.34 : x
  2. Step 2: Convert to fraction form
    8,064.94/11,102.31 = 6,939.34/x
  3. Step 3: Cross multiply
    8,064.94x = 11,102.31 × 6,939.34
  4. Step 4: Simplify right side
    8,064.94x = 77,042,703.88
  5. Step 5: Solve for x
    x = 77,042,703.88/8,064.94
  6. Step 6: Final answer
    x = 9,552.79

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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.