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Finding the Fourth Proportional to 4,293, 5,907.60 and 4,150.44

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Solution

The fourth proportional to 4,293, 5,907.60 and 4,150.44 is: 5,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293 : 5,907.60 = 4,150.44 : x
  2. Step 2: Convert to fraction form
    4,293/5,907.60 = 4,150.44/x
  3. Step 3: Cross multiply
    4,293x = 5,907.60 × 4,150.44
  4. Step 4: Simplify right side
    4,293x = 24,519,139.34
  5. Step 5: Solve for x
    x = 24,519,139.34/4,293
  6. Step 6: Final answer
    x = 5,711.42

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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.