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Finding the Fourth Proportional to 11,083.76, 16,625.52 and 6,410.80

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Solution

The fourth proportional to 11,083.76, 16,625.52 and 6,410.80 is: 9,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.76 : 16,625.52 = 6,410.80 : x
  2. Step 2: Convert to fraction form
    11,083.76/16,625.52 = 6,410.80/x
  3. Step 3: Cross multiply
    11,083.76x = 16,625.52 × 6,410.80
  4. Step 4: Simplify right side
    11,083.76x = 106,582,883.62
  5. Step 5: Solve for x
    x = 106,582,883.62/11,083.76
  6. Step 6: Final answer
    x = 9,616.13

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1.5x scale

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.