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Finding the Fourth Proportional to 7,909, 10,914.24 and 4,372.24

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Solution

The fourth proportional to 7,909, 10,914.24 and 4,372.24 is: 6,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909 : 10,914.24 = 4,372.24 : x
  2. Step 2: Convert to fraction form
    7,909/10,914.24 = 4,372.24/x
  3. Step 3: Cross multiply
    7,909x = 10,914.24 × 4,372.24
  4. Step 4: Simplify right side
    7,909x = 47,719,676.70
  5. Step 5: Solve for x
    x = 47,719,676.70/7,909
  6. Step 6: Final answer
    x = 6,033.59

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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.