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Finding the Fourth Proportional to 7,850.34, 10,833.93 and 5,193.09

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Solution

The fourth proportional to 7,850.34, 10,833.93 and 5,193.09 is: 7,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.34 : 10,833.93 = 5,193.09 : x
  2. Step 2: Convert to fraction form
    7,850.34/10,833.93 = 5,193.09/x
  3. Step 3: Cross multiply
    7,850.34x = 10,833.93 × 5,193.09
  4. Step 4: Simplify right side
    7,850.34x = 56,261,573.54
  5. Step 5: Solve for x
    x = 56,261,573.54/7,850.34
  6. Step 6: Final answer
    x = 7,166.77

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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.