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Finding the Fourth Proportional to 16,873, 25,310.76 and 6,484.84

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Solution

The fourth proportional to 16,873, 25,310.76 and 6,484.84 is: 9,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,873 : 25,310.76 = 6,484.84 : x
  2. Step 2: Convert to fraction form
    16,873/25,310.76 = 6,484.84/x
  3. Step 3: Cross multiply
    16,873x = 25,310.76 × 6,484.84
  4. Step 4: Simplify right side
    16,873x = 164,136,228.88
  5. Step 5: Solve for x
    x = 164,136,228.88/16,873
  6. Step 6: Final answer
    x = 9,727.74

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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.