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Finding the Fourth Proportional to 6,286.88, 9,422.88 and 3,513.44

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Solution

The fourth proportional to 6,286.88, 9,422.88 and 3,513.44 is: 5,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.88 : 9,422.88 = 3,513.44 : x
  2. Step 2: Convert to fraction form
    6,286.88/9,422.88 = 3,513.44/x
  3. Step 3: Cross multiply
    6,286.88x = 9,422.88 × 3,513.44
  4. Step 4: Simplify right side
    6,286.88x = 33,106,723.51
  5. Step 5: Solve for x
    x = 33,106,723.51/6,286.88
  6. Step 6: Final answer
    x = 5,266.00

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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.