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Finding the Fourth Proportional to 16,975, 25,462.50 and 4,663

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Solution

The fourth proportional to 16,975, 25,462.50 and 4,663 is: 6,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975 : 25,462.50 = 4,663 : x
  2. Step 2: Convert to fraction form
    16,975/25,462.50 = 4,663/x
  3. Step 3: Cross multiply
    16,975x = 25,462.50 × 4,663
  4. Step 4: Simplify right side
    16,975x = 118,731,637.50
  5. Step 5: Solve for x
    x = 118,731,637.50/16,975
  6. Step 6: Final answer
    x = 6,994.50

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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.