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Finding the Fourth Proportional to 20,537.34, 30,809.03 and 6,494.19

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Solution

The fourth proportional to 20,537.34, 30,809.03 and 6,494.19 is: 9,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.34 : 30,809.03 = 6,494.19 : x
  2. Step 2: Convert to fraction form
    20,537.34/30,809.03 = 6,494.19/x
  3. Step 3: Cross multiply
    20,537.34x = 30,809.03 × 6,494.19
  4. Step 4: Simplify right side
    20,537.34x = 200,079,694.54
  5. Step 5: Solve for x
    x = 200,079,694.54/20,537.34
  6. Step 6: Final answer
    x = 9,742.24

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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.