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Finding the Fourth Proportional to 5,494.64, 7,583.27 and 3,104.71

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Solution

The fourth proportional to 5,494.64, 7,583.27 and 3,104.71 is: 4,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.64 : 7,583.27 = 3,104.71 : x
  2. Step 2: Convert to fraction form
    5,494.64/7,583.27 = 3,104.71/x
  3. Step 3: Cross multiply
    5,494.64x = 7,583.27 × 3,104.71
  4. Step 4: Simplify right side
    5,494.64x = 23,543,819.72
  5. Step 5: Solve for x
    x = 23,543,819.72/5,494.64
  6. Step 6: Final answer
    x = 4,284.87

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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.