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Finding the Fourth Proportional to 24,747.82, 37,121.73 and 7,217.65

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Solution

The fourth proportional to 24,747.82, 37,121.73 and 7,217.65 is: 10,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.82 : 37,121.73 = 7,217.65 : x
  2. Step 2: Convert to fraction form
    24,747.82/37,121.73 = 7,217.65/x
  3. Step 3: Cross multiply
    24,747.82x = 37,121.73 × 7,217.65
  4. Step 4: Simplify right side
    24,747.82x = 267,931,432.84
  5. Step 5: Solve for x
    x = 267,931,432.84/24,747.82
  6. Step 6: Final answer
    x = 10,826.47

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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.