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Finding the Fourth Proportional to 8,194.74, 11,309.93 and 5,009.85

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Solution

The fourth proportional to 8,194.74, 11,309.93 and 5,009.85 is: 6,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.74 : 11,309.93 = 5,009.85 : x
  2. Step 2: Convert to fraction form
    8,194.74/11,309.93 = 5,009.85/x
  3. Step 3: Cross multiply
    8,194.74x = 11,309.93 × 5,009.85
  4. Step 4: Simplify right side
    8,194.74x = 56,661,046.55
  5. Step 5: Solve for x
    x = 56,661,046.55/8,194.74
  6. Step 6: Final answer
    x = 6,914.32

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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.