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Finding the Fourth Proportional to 7,169.71, 9,896.52 and 4,647.37

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Solution

The fourth proportional to 7,169.71, 9,896.52 and 4,647.37 is: 6,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.71 : 9,896.52 = 4,647.37 : x
  2. Step 2: Convert to fraction form
    7,169.71/9,896.52 = 4,647.37/x
  3. Step 3: Cross multiply
    7,169.71x = 9,896.52 × 4,647.37
  4. Step 4: Simplify right side
    7,169.71x = 45,992,790.15
  5. Step 5: Solve for x
    x = 45,992,790.15/7,169.71
  6. Step 6: Final answer
    x = 6,414.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.