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Finding the Fourth Proportional to 5,494.91, 7,584.37 and 4,934.41

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Solution

The fourth proportional to 5,494.91, 7,584.37 and 4,934.41 is: 6,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.91 : 7,584.37 = 4,934.41 : x
  2. Step 2: Convert to fraction form
    5,494.91/7,584.37 = 4,934.41/x
  3. Step 3: Cross multiply
    5,494.91x = 7,584.37 × 4,934.41
  4. Step 4: Simplify right side
    5,494.91x = 37,424,359.87
  5. Step 5: Solve for x
    x = 37,424,359.87/5,494.91
  6. Step 6: Final answer
    x = 6,810.74

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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.