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Finding the Fourth Proportional to 6,140.34, 9,208.89 and 1,757.97

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Solution

The fourth proportional to 6,140.34, 9,208.89 and 1,757.97 is: 2,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.34 : 9,208.89 = 1,757.97 : x
  2. Step 2: Convert to fraction form
    6,140.34/9,208.89 = 1,757.97/x
  3. Step 3: Cross multiply
    6,140.34x = 9,208.89 × 1,757.97
  4. Step 4: Simplify right side
    6,140.34x = 16,188,952.35
  5. Step 5: Solve for x
    x = 16,188,952.35/6,140.34
  6. Step 6: Final answer
    x = 2,636.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.