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Finding the Fourth Proportional to 6,589.71, 9,094.41 and 3,605.97

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Solution

The fourth proportional to 6,589.71, 9,094.41 and 3,605.97 is: 4,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.71 : 9,094.41 = 3,605.97 : x
  2. Step 2: Convert to fraction form
    6,589.71/9,094.41 = 3,605.97/x
  3. Step 3: Cross multiply
    6,589.71x = 9,094.41 × 3,605.97
  4. Step 4: Simplify right side
    6,589.71x = 32,794,169.63
  5. Step 5: Solve for x
    x = 32,794,169.63/6,589.71
  6. Step 6: Final answer
    x = 4,976.57

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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.