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Finding the Fourth Proportional to 8,309.88, 11,468.04 and 4,774.32

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Solution

The fourth proportional to 8,309.88, 11,468.04 and 4,774.32 is: 6,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.88 : 11,468.04 = 4,774.32 : x
  2. Step 2: Convert to fraction form
    8,309.88/11,468.04 = 4,774.32/x
  3. Step 3: Cross multiply
    8,309.88x = 11,468.04 × 4,774.32
  4. Step 4: Simplify right side
    8,309.88x = 54,752,092.73
  5. Step 5: Solve for x
    x = 54,752,092.73/8,309.88
  6. Step 6: Final answer
    x = 6,588.79

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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.