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Finding the Fourth Proportional to 9,607, 14,410.62 and 3,451

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Solution

The fourth proportional to 9,607, 14,410.62 and 3,451 is: 5,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607 : 14,410.62 = 3,451 : x
  2. Step 2: Convert to fraction form
    9,607/14,410.62 = 3,451/x
  3. Step 3: Cross multiply
    9,607x = 14,410.62 × 3,451
  4. Step 4: Simplify right side
    9,607x = 49,731,049.62
  5. Step 5: Solve for x
    x = 49,731,049.62/9,607
  6. Step 6: Final answer
    x = 5,176.54

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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.