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Finding the Fourth Proportional to 8,079.54, 11,147.09 and 6,584.89

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Solution

The fourth proportional to 8,079.54, 11,147.09 and 6,584.89 is: 9,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,079.54 : 11,147.09 = 6,584.89 : x
  2. Step 2: Convert to fraction form
    8,079.54/11,147.09 = 6,584.89/x
  3. Step 3: Cross multiply
    8,079.54x = 11,147.09 × 6,584.89
  4. Step 4: Simplify right side
    8,079.54x = 73,402,300.68
  5. Step 5: Solve for x
    x = 73,402,300.68/8,079.54
  6. Step 6: Final answer
    x = 9,084.96

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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.