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Finding the Fourth Proportional to 6,552.48, 9,826.32 and 2,169.12

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Solution

The fourth proportional to 6,552.48, 9,826.32 and 2,169.12 is: 3,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.48 : 9,826.32 = 2,169.12 : x
  2. Step 2: Convert to fraction form
    6,552.48/9,826.32 = 2,169.12/x
  3. Step 3: Cross multiply
    6,552.48x = 9,826.32 × 2,169.12
  4. Step 4: Simplify right side
    6,552.48x = 21,314,467.24
  5. Step 5: Solve for x
    x = 21,314,467.24/6,552.48
  6. Step 6: Final answer
    x = 3,252.89

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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.