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Finding the Fourth Proportional to 10,794.14, 14,893 and 6,319

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Solution

The fourth proportional to 10,794.14, 14,893 and 6,319 is: 8,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.14 : 14,893 = 6,319 : x
  2. Step 2: Convert to fraction form
    10,794.14/14,893 = 6,319/x
  3. Step 3: Cross multiply
    10,794.14x = 14,893 × 6,319
  4. Step 4: Simplify right side
    10,794.14x = 94,108,867
  5. Step 5: Solve for x
    x = 94,108,867/10,794.14
  6. Step 6: Final answer
    x = 8,718.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.