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Finding the Fourth Proportional to 5,093.68, 7,640.64 and 1,630.96

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Solution

The fourth proportional to 5,093.68, 7,640.64 and 1,630.96 is: 2,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.68 : 7,640.64 = 1,630.96 : x
  2. Step 2: Convert to fraction form
    5,093.68/7,640.64 = 1,630.96/x
  3. Step 3: Cross multiply
    5,093.68x = 7,640.64 × 1,630.96
  4. Step 4: Simplify right side
    5,093.68x = 12,461,578.21
  5. Step 5: Solve for x
    x = 12,461,578.21/5,093.68
  6. Step 6: Final answer
    x = 2,446.48

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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.