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Finding the Fourth Proportional to 6,164.88, 8,508.06 and 3,512.94

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Solution

The fourth proportional to 6,164.88, 8,508.06 and 3,512.94 is: 4,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.88 : 8,508.06 = 3,512.94 : x
  2. Step 2: Convert to fraction form
    6,164.88/8,508.06 = 3,512.94/x
  3. Step 3: Cross multiply
    6,164.88x = 8,508.06 × 3,512.94
  4. Step 4: Simplify right side
    6,164.88x = 29,888,304.30
  5. Step 5: Solve for x
    x = 29,888,304.30/6,164.88
  6. Step 6: Final answer
    x = 4,848.16

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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.