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Finding the Fourth Proportional to 7,850.84, 10,822.95 and 5,611.89

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Solution

The fourth proportional to 7,850.84, 10,822.95 and 5,611.89 is: 7,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.84 : 10,822.95 = 5,611.89 : x
  2. Step 2: Convert to fraction form
    7,850.84/10,822.95 = 5,611.89/x
  3. Step 3: Cross multiply
    7,850.84x = 10,822.95 × 5,611.89
  4. Step 4: Simplify right side
    7,850.84x = 60,737,245.46
  5. Step 5: Solve for x
    x = 60,737,245.46/7,850.84
  6. Step 6: Final answer
    x = 7,736.41

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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.