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Finding the Fourth Proportional to 24,801.76, 37,202.14 and 7,271.20

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Solution

The fourth proportional to 24,801.76, 37,202.14 and 7,271.20 is: 10,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.76 : 37,202.14 = 7,271.20 : x
  2. Step 2: Convert to fraction form
    24,801.76/37,202.14 = 7,271.20/x
  3. Step 3: Cross multiply
    24,801.76x = 37,202.14 × 7,271.20
  4. Step 4: Simplify right side
    24,801.76x = 270,504,200.37
  5. Step 5: Solve for x
    x = 270,504,200.37/24,801.76
  6. Step 6: Final answer
    x = 10,906.65

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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.