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Finding the Fourth Proportional to 6,104.70, 9,157.05 and 3,999.71

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Solution

The fourth proportional to 6,104.70, 9,157.05 and 3,999.71 is: 5,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.70 : 9,157.05 = 3,999.71 : x
  2. Step 2: Convert to fraction form
    6,104.70/9,157.05 = 3,999.71/x
  3. Step 3: Cross multiply
    6,104.70x = 9,157.05 × 3,999.71
  4. Step 4: Simplify right side
    6,104.70x = 36,625,567.35
  5. Step 5: Solve for x
    x = 36,625,567.35/6,104.70
  6. Step 6: Final answer
    x = 5,999.57

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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.