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Finding the Fourth Proportional to 8,383.25, 11,568.83 and 4,657.25

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Solution

The fourth proportional to 8,383.25, 11,568.83 and 4,657.25 is: 6,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.25 : 11,568.83 = 4,657.25 : x
  2. Step 2: Convert to fraction form
    8,383.25/11,568.83 = 4,657.25/x
  3. Step 3: Cross multiply
    8,383.25x = 11,568.83 × 4,657.25
  4. Step 4: Simplify right side
    8,383.25x = 53,878,939.15
  5. Step 5: Solve for x
    x = 53,878,939.15/8,383.25
  6. Step 6: Final answer
    x = 6,426.97

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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.