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Finding the Fourth Proportional to 7,850.94, 10,835.82 and 4,664.94

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Solution

The fourth proportional to 7,850.94, 10,835.82 and 4,664.94 is: 6,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.94 : 10,835.82 = 4,664.94 : x
  2. Step 2: Convert to fraction form
    7,850.94/10,835.82 = 4,664.94/x
  3. Step 3: Cross multiply
    7,850.94x = 10,835.82 × 4,664.94
  4. Step 4: Simplify right side
    7,850.94x = 50,548,450.15
  5. Step 5: Solve for x
    x = 50,548,450.15/7,850.94
  6. Step 6: Final answer
    x = 6,438.52

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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.