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Finding the Fourth Proportional to 5,589.74, 8,385 and 1,694.44

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Solution

The fourth proportional to 5,589.74, 8,385 and 1,694.44 is: 2,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.74 : 8,385 = 1,694.44 : x
  2. Step 2: Convert to fraction form
    5,589.74/8,385 = 1,694.44/x
  3. Step 3: Cross multiply
    5,589.74x = 8,385 × 1,694.44
  4. Step 4: Simplify right side
    5,589.74x = 14,207,879.40
  5. Step 5: Solve for x
    x = 14,207,879.40/5,589.74
  6. Step 6: Final answer
    x = 2,541.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.