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Finding the Fourth Proportional to 6,179.70, 9,265.46 and 3,407.70

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Solution

The fourth proportional to 6,179.70, 9,265.46 and 3,407.70 is: 5,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.70 : 9,265.46 = 3,407.70 : x
  2. Step 2: Convert to fraction form
    6,179.70/9,265.46 = 3,407.70/x
  3. Step 3: Cross multiply
    6,179.70x = 9,265.46 × 3,407.70
  4. Step 4: Simplify right side
    6,179.70x = 31,573,891.00
  5. Step 5: Solve for x
    x = 31,573,891.00/6,179.70
  6. Step 6: Final answer
    x = 5,109.29

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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.