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Finding the Fourth Proportional to 24,692.28, 37,040.22 and 7,162.20

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Solution

The fourth proportional to 24,692.28, 37,040.22 and 7,162.20 is: 10,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.28 : 37,040.22 = 7,162.20 : x
  2. Step 2: Convert to fraction form
    24,692.28/37,040.22 = 7,162.20/x
  3. Step 3: Cross multiply
    24,692.28x = 37,040.22 × 7,162.20
  4. Step 4: Simplify right side
    24,692.28x = 265,289,463.68
  5. Step 5: Solve for x
    x = 265,289,463.68/24,692.28
  6. Step 6: Final answer
    x = 10,743.82

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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.