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Finding the Fourth Proportional to 16,975, 25,468.98 and 6,587.56

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Solution

The fourth proportional to 16,975, 25,468.98 and 6,587.56 is: 9,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975 : 25,468.98 = 6,587.56 : x
  2. Step 2: Convert to fraction form
    16,975/25,468.98 = 6,587.56/x
  3. Step 3: Cross multiply
    16,975x = 25,468.98 × 6,587.56
  4. Step 4: Simplify right side
    16,975x = 167,778,433.89
  5. Step 5: Solve for x
    x = 167,778,433.89/16,975
  6. Step 6: Final answer
    x = 9,883.85

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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.