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Finding the Fourth Proportional to 10,616.88, 14,634.42 and 8,375.10

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Solution

The fourth proportional to 10,616.88, 14,634.42 and 8,375.10 is: 11,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.88 : 14,634.42 = 8,375.10 : x
  2. Step 2: Convert to fraction form
    10,616.88/14,634.42 = 8,375.10/x
  3. Step 3: Cross multiply
    10,616.88x = 14,634.42 × 8,375.10
  4. Step 4: Simplify right side
    10,616.88x = 122,564,730.94
  5. Step 5: Solve for x
    x = 122,564,730.94/10,616.88
  6. Step 6: Final answer
    x = 11,544.33

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1.5x scale

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.