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Finding the Fourth Proportional to 6,329.70, 9,494.73 and 1,947.24

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Solution

The fourth proportional to 6,329.70, 9,494.73 and 1,947.24 is: 2,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.70 : 9,494.73 = 1,947.24 : x
  2. Step 2: Convert to fraction form
    6,329.70/9,494.73 = 1,947.24/x
  3. Step 3: Cross multiply
    6,329.70x = 9,494.73 × 1,947.24
  4. Step 4: Simplify right side
    6,329.70x = 18,488,518.05
  5. Step 5: Solve for x
    x = 18,488,518.05/6,329.70
  6. Step 6: Final answer
    x = 2,920.92

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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.