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Finding the Fourth Proportional to 16,946, 25,422.84 and 6,002

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Solution

The fourth proportional to 16,946, 25,422.84 and 6,002 is: 9,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946 : 25,422.84 = 6,002 : x
  2. Step 2: Convert to fraction form
    16,946/25,422.84 = 6,002/x
  3. Step 3: Cross multiply
    16,946x = 25,422.84 × 6,002
  4. Step 4: Simplify right side
    16,946x = 152,587,885.68
  5. Step 5: Solve for x
    x = 152,587,885.68/16,946
  6. Step 6: Final answer
    x = 9,004.36

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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.