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Finding the Fourth Proportional to 6,584.93, 9,084.66 and 4,062.66

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Solution

The fourth proportional to 6,584.93, 9,084.66 and 4,062.66 is: 5,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.93 : 9,084.66 = 4,062.66 : x
  2. Step 2: Convert to fraction form
    6,584.93/9,084.66 = 4,062.66/x
  3. Step 3: Cross multiply
    6,584.93x = 9,084.66 × 4,062.66
  4. Step 4: Simplify right side
    6,584.93x = 36,907,835.49
  5. Step 5: Solve for x
    x = 36,907,835.49/6,584.93
  6. Step 6: Final answer
    x = 5,604.90

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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.