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Finding the Fourth Proportional to 16,943, 25,415.94 and 4,631

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Solution

The fourth proportional to 16,943, 25,415.94 and 4,631 is: 6,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,943 : 25,415.94 = 4,631 : x
  2. Step 2: Convert to fraction form
    16,943/25,415.94 = 4,631/x
  3. Step 3: Cross multiply
    16,943x = 25,415.94 × 4,631
  4. Step 4: Simplify right side
    16,943x = 117,701,218.14
  5. Step 5: Solve for x
    x = 117,701,218.14/16,943
  6. Step 6: Final answer
    x = 6,946.89

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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.