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Finding the Fourth Proportional to 5,210, 7,194.48 and 3,350.24

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Solution

The fourth proportional to 5,210, 7,194.48 and 3,350.24 is: 4,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210 : 7,194.48 = 3,350.24 : x
  2. Step 2: Convert to fraction form
    5,210/7,194.48 = 3,350.24/x
  3. Step 3: Cross multiply
    5,210x = 7,194.48 × 3,350.24
  4. Step 4: Simplify right side
    5,210x = 24,103,234.68
  5. Step 5: Solve for x
    x = 24,103,234.68/5,210
  6. Step 6: Final answer
    x = 4,626.34

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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.