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Finding the Fourth Proportional to 6,758.68, 9,326.34 and 3,963.64

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Solution

The fourth proportional to 6,758.68, 9,326.34 and 3,963.64 is: 5,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.68 : 9,326.34 = 3,963.64 : x
  2. Step 2: Convert to fraction form
    6,758.68/9,326.34 = 3,963.64/x
  3. Step 3: Cross multiply
    6,758.68x = 9,326.34 × 3,963.64
  4. Step 4: Simplify right side
    6,758.68x = 36,966,254.28
  5. Step 5: Solve for x
    x = 36,966,254.28/6,758.68
  6. Step 6: Final answer
    x = 5,469.45

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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.