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Finding the Fourth Proportional to 6,465.97, 8,922.78 and 3,952.28

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Solution

The fourth proportional to 6,465.97, 8,922.78 and 3,952.28 is: 5,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.97 : 8,922.78 = 3,952.28 : x
  2. Step 2: Convert to fraction form
    6,465.97/8,922.78 = 3,952.28/x
  3. Step 3: Cross multiply
    6,465.97x = 8,922.78 × 3,952.28
  4. Step 4: Simplify right side
    6,465.97x = 35,265,324.94
  5. Step 5: Solve for x
    x = 35,265,324.94/6,465.97
  6. Step 6: Final answer
    x = 5,453.99

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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.