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Finding the Fourth Proportional to 16,946, 25,420.76 and 4,634

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Solution

The fourth proportional to 16,946, 25,420.76 and 4,634 is: 6,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946 : 25,420.76 = 4,634 : x
  2. Step 2: Convert to fraction form
    16,946/25,420.76 = 4,634/x
  3. Step 3: Cross multiply
    16,946x = 25,420.76 × 4,634
  4. Step 4: Simplify right side
    16,946x = 117,799,801.84
  5. Step 5: Solve for x
    x = 117,799,801.84/16,946
  6. Step 6: Final answer
    x = 6,951.48

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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.