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Finding the Fourth Proportional to 6,584.13, 9,086.13 and 3,600.09

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Solution

The fourth proportional to 6,584.13, 9,086.13 and 3,600.09 is: 4,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.13 : 9,086.13 = 3,600.09 : x
  2. Step 2: Convert to fraction form
    6,584.13/9,086.13 = 3,600.09/x
  3. Step 3: Cross multiply
    6,584.13x = 9,086.13 × 3,600.09
  4. Step 4: Simplify right side
    6,584.13x = 32,710,885.75
  5. Step 5: Solve for x
    x = 32,710,885.75/6,584.13
  6. Step 6: Final answer
    x = 4,968.14

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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.