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Finding the Fourth Proportional to 17,785.71, 26,682.41 and 9,464.50

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Solution

The fourth proportional to 17,785.71, 26,682.41 and 9,464.50 is: 14,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.71 : 26,682.41 = 9,464.50 : x
  2. Step 2: Convert to fraction form
    17,785.71/26,682.41 = 9,464.50/x
  3. Step 3: Cross multiply
    17,785.71x = 26,682.41 × 9,464.50
  4. Step 4: Simplify right side
    17,785.71x = 252,535,801.50
  5. Step 5: Solve for x
    x = 252,535,801.50/17,785.71
  6. Step 6: Final answer
    x = 14,198.80

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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.