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Finding the Fourth Proportional to 8,294.25, 11,446.07 and 4,568.25

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Solution

The fourth proportional to 8,294.25, 11,446.07 and 4,568.25 is: 6,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.25 : 11,446.07 = 4,568.25 : x
  2. Step 2: Convert to fraction form
    8,294.25/11,446.07 = 4,568.25/x
  3. Step 3: Cross multiply
    8,294.25x = 11,446.07 × 4,568.25
  4. Step 4: Simplify right side
    8,294.25x = 52,288,486.44
  5. Step 5: Solve for x
    x = 52,288,486.44/8,294.25
  6. Step 6: Final answer
    x = 6,304.19

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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.