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Finding the Fourth Proportional to 9,651.84, 13,324.32 and 6,825.48

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Solution

The fourth proportional to 9,651.84, 13,324.32 and 6,825.48 is: 9,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.84 : 13,324.32 = 6,825.48 : x
  2. Step 2: Convert to fraction form
    9,651.84/13,324.32 = 6,825.48/x
  3. Step 3: Cross multiply
    9,651.84x = 13,324.32 × 6,825.48
  4. Step 4: Simplify right side
    9,651.84x = 90,944,879.67
  5. Step 5: Solve for x
    x = 90,944,879.67/9,651.84
  6. Step 6: Final answer
    x = 9,422.54

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Similar ratio
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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.