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Finding the Fourth Proportional to 9,411, 14,163.77 and 7,083.06

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Solution

The fourth proportional to 9,411, 14,163.77 and 7,083.06 is: 10,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411 : 14,163.77 = 7,083.06 : x
  2. Step 2: Convert to fraction form
    9,411/14,163.77 = 7,083.06/x
  3. Step 3: Cross multiply
    9,411x = 14,163.77 × 7,083.06
  4. Step 4: Simplify right side
    9,411x = 100,322,850.44
  5. Step 5: Solve for x
    x = 100,322,850.44/9,411
  6. Step 6: Final answer
    x = 10,660.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.