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Finding the Fourth Proportional to 24,576.78, 36,867.57 and 9,782.25

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Solution

The fourth proportional to 24,576.78, 36,867.57 and 9,782.25 is: 14,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.78 : 36,867.57 = 9,782.25 : x
  2. Step 2: Convert to fraction form
    24,576.78/36,867.57 = 9,782.25/x
  3. Step 3: Cross multiply
    24,576.78x = 36,867.57 × 9,782.25
  4. Step 4: Simplify right side
    24,576.78x = 360,647,786.63
  5. Step 5: Solve for x
    x = 360,647,786.63/24,576.78
  6. Step 6: Final answer
    x = 14,674.33

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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.