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Finding the Fourth Proportional to 6,069.71, 9,105.87 and 3,438.46

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Solution

The fourth proportional to 6,069.71, 9,105.87 and 3,438.46 is: 5,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.71 : 9,105.87 = 3,438.46 : x
  2. Step 2: Convert to fraction form
    6,069.71/9,105.87 = 3,438.46/x
  3. Step 3: Cross multiply
    6,069.71x = 9,105.87 × 3,438.46
  4. Step 4: Simplify right side
    6,069.71x = 31,310,194.04
  5. Step 5: Solve for x
    x = 31,310,194.04/6,069.71
  6. Step 6: Final answer
    x = 5,158.43

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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.