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Finding the Fourth Proportional to 8,294.69, 11,446.67 and 4,568.69

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Solution

The fourth proportional to 8,294.69, 11,446.67 and 4,568.69 is: 6,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.69 : 11,446.67 = 4,568.69 : x
  2. Step 2: Convert to fraction form
    8,294.69/11,446.67 = 4,568.69/x
  3. Step 3: Cross multiply
    8,294.69x = 11,446.67 × 4,568.69
  4. Step 4: Simplify right side
    8,294.69x = 52,296,258.15
  5. Step 5: Solve for x
    x = 52,296,258.15/8,294.69
  6. Step 6: Final answer
    x = 6,304.79

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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.