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Finding the Fourth Proportional to 6,169.34, 8,513.84 and 3,517

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Solution

The fourth proportional to 6,169.34, 8,513.84 and 3,517 is: 4,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.34 : 8,513.84 = 3,517 : x
  2. Step 2: Convert to fraction form
    6,169.34/8,513.84 = 3,517/x
  3. Step 3: Cross multiply
    6,169.34x = 8,513.84 × 3,517
  4. Step 4: Simplify right side
    6,169.34x = 29,943,175.28
  5. Step 5: Solve for x
    x = 29,943,175.28/6,169.34
  6. Step 6: Final answer
    x = 4,853.55

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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.