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Finding the Fourth Proportional to 24,275.97, 36,414.44 and 7,635.65

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Solution

The fourth proportional to 24,275.97, 36,414.44 and 7,635.65 is: 11,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.97 : 36,414.44 = 7,635.65 : x
  2. Step 2: Convert to fraction form
    24,275.97/36,414.44 = 7,635.65/x
  3. Step 3: Cross multiply
    24,275.97x = 36,414.44 × 7,635.65
  4. Step 4: Simplify right side
    24,275.97x = 278,047,918.79
  5. Step 5: Solve for x
    x = 278,047,918.79/24,275.97
  6. Step 6: Final answer
    x = 11,453.63

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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.