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Finding the Fourth Proportional to 11,611.39, 16,028.62 and 7,839.66

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Solution

The fourth proportional to 11,611.39, 16,028.62 and 7,839.66 is: 10,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.39 : 16,028.62 = 7,839.66 : x
  2. Step 2: Convert to fraction form
    11,611.39/16,028.62 = 7,839.66/x
  3. Step 3: Cross multiply
    11,611.39x = 16,028.62 × 7,839.66
  4. Step 4: Simplify right side
    11,611.39x = 125,658,931.07
  5. Step 5: Solve for x
    x = 125,658,931.07/11,611.39
  6. Step 6: Final answer
    x = 10,822.04

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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.