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Finding the Fourth Proportional to 20,537.76, 30,810.96 and 6,696.48

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Solution

The fourth proportional to 20,537.76, 30,810.96 and 6,696.48 is: 10,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.76 : 30,810.96 = 6,696.48 : x
  2. Step 2: Convert to fraction form
    20,537.76/30,810.96 = 6,696.48/x
  3. Step 3: Cross multiply
    20,537.76x = 30,810.96 × 6,696.48
  4. Step 4: Simplify right side
    20,537.76x = 206,324,977.42
  5. Step 5: Solve for x
    x = 206,324,977.42/20,537.76
  6. Step 6: Final answer
    x = 10,046.13

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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.