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Finding the Fourth Proportional to 6,552.16, 9,826.41 and 2,169.96

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Solution

The fourth proportional to 6,552.16, 9,826.41 and 2,169.96 is: 3,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.16 : 9,826.41 = 2,169.96 : x
  2. Step 2: Convert to fraction form
    6,552.16/9,826.41 = 2,169.96/x
  3. Step 3: Cross multiply
    6,552.16x = 9,826.41 × 2,169.96
  4. Step 4: Simplify right side
    6,552.16x = 21,322,900.21
  5. Step 5: Solve for x
    x = 21,322,900.21/6,552.16
  6. Step 6: Final answer
    x = 3,254.33

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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.