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Finding the Fourth Proportional to 20,182.98, 30,274.22 and 7,035.31

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Solution

The fourth proportional to 20,182.98, 30,274.22 and 7,035.31 is: 10,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.98 : 30,274.22 = 7,035.31 : x
  2. Step 2: Convert to fraction form
    20,182.98/30,274.22 = 7,035.31/x
  3. Step 3: Cross multiply
    20,182.98x = 30,274.22 × 7,035.31
  4. Step 4: Simplify right side
    20,182.98x = 212,988,336.16
  5. Step 5: Solve for x
    x = 212,988,336.16/20,182.98
  6. Step 6: Final answer
    x = 10,552.87

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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.