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Finding the Fourth Proportional to 19,784, 29,676 and 5,933

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Solution

The fourth proportional to 19,784, 29,676 and 5,933 is: 8,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 29,676 = 5,933 : x
  2. Step 2: Convert to fraction form
    19,784/29,676 = 5,933/x
  3. Step 3: Cross multiply
    19,784x = 29,676 × 5,933
  4. Step 4: Simplify right side
    19,784x = 176,067,708
  5. Step 5: Solve for x
    x = 176,067,708/19,784
  6. Step 6: Final answer
    x = 8,899.50

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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.