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Finding the Fourth Proportional to 6,069.70, 9,107.43 and 4,773.70

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Solution

The fourth proportional to 6,069.70, 9,107.43 and 4,773.70 is: 7,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.70 : 9,107.43 = 4,773.70 : x
  2. Step 2: Convert to fraction form
    6,069.70/9,107.43 = 4,773.70/x
  3. Step 3: Cross multiply
    6,069.70x = 9,107.43 × 4,773.70
  4. Step 4: Simplify right side
    6,069.70x = 43,476,138.59
  5. Step 5: Solve for x
    x = 43,476,138.59/6,069.70
  6. Step 6: Final answer
    x = 7,162.82

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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.