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Finding the Fourth Proportional to 20,651.76, 30,977.10 and 7,504.38

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Solution

The fourth proportional to 20,651.76, 30,977.10 and 7,504.38 is: 11,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.76 : 30,977.10 = 7,504.38 : x
  2. Step 2: Convert to fraction form
    20,651.76/30,977.10 = 7,504.38/x
  3. Step 3: Cross multiply
    20,651.76x = 30,977.10 × 7,504.38
  4. Step 4: Simplify right side
    20,651.76x = 232,463,929.70
  5. Step 5: Solve for x
    x = 232,463,929.70/20,651.76
  6. Step 6: Final answer
    x = 11,256.37

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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.