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Finding the Fourth Proportional to 6,416, 9,625.62 and 1,799

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Solution

The fourth proportional to 6,416, 9,625.62 and 1,799 is: 2,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 9,625.62 = 1,799 : x
  2. Step 2: Convert to fraction form
    6,416/9,625.62 = 1,799/x
  3. Step 3: Cross multiply
    6,416x = 9,625.62 × 1,799
  4. Step 4: Simplify right side
    6,416x = 17,316,490.38
  5. Step 5: Solve for x
    x = 17,316,490.38/6,416
  6. Step 6: Final answer
    x = 2,698.95

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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.