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Finding the Fourth Proportional to 6,164.82, 8,507.16 and 3,512.12

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Solution

The fourth proportional to 6,164.82, 8,507.16 and 3,512.12 is: 4,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.82 : 8,507.16 = 3,512.12 : x
  2. Step 2: Convert to fraction form
    6,164.82/8,507.16 = 3,512.12/x
  3. Step 3: Cross multiply
    6,164.82x = 8,507.16 × 3,512.12
  4. Step 4: Simplify right side
    6,164.82x = 29,878,124.24
  5. Step 5: Solve for x
    x = 29,878,124.24/6,164.82
  6. Step 6: Final answer
    x = 4,846.55

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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.