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Finding the Fourth Proportional to 6,825.71, 9,396.73 and 6,512.24

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Solution

The fourth proportional to 6,825.71, 9,396.73 and 6,512.24 is: 8,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.71 : 9,396.73 = 6,512.24 : x
  2. Step 2: Convert to fraction form
    6,825.71/9,396.73 = 6,512.24/x
  3. Step 3: Cross multiply
    6,825.71x = 9,396.73 × 6,512.24
  4. Step 4: Simplify right side
    6,825.71x = 61,193,760.98
  5. Step 5: Solve for x
    x = 61,193,760.98/6,825.71
  6. Step 6: Final answer
    x = 8,965.19

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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.