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Finding the Fourth Proportional to 6,170.63, 9,259.11 and 3,399.48

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Solution

The fourth proportional to 6,170.63, 9,259.11 and 3,399.48 is: 5,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.63 : 9,259.11 = 3,399.48 : x
  2. Step 2: Convert to fraction form
    6,170.63/9,259.11 = 3,399.48/x
  3. Step 3: Cross multiply
    6,170.63x = 9,259.11 × 3,399.48
  4. Step 4: Simplify right side
    6,170.63x = 31,476,159.26
  5. Step 5: Solve for x
    x = 31,476,159.26/6,170.63
  6. Step 6: Final answer
    x = 5,100.97

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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.