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Finding the Fourth Proportional to 6,416.88, 9,625.38 and 2,034

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Solution

The fourth proportional to 6,416.88, 9,625.38 and 2,034 is: 3,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.88 : 9,625.38 = 2,034 : x
  2. Step 2: Convert to fraction form
    6,416.88/9,625.38 = 2,034/x
  3. Step 3: Cross multiply
    6,416.88x = 9,625.38 × 2,034
  4. Step 4: Simplify right side
    6,416.88x = 19,578,022.92
  5. Step 5: Solve for x
    x = 19,578,022.92/6,416.88
  6. Step 6: Final answer
    x = 3,051.02

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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.