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Finding the Fourth Proportional to 8,164.62, 12,235.98 and 4,461.30

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Solution

The fourth proportional to 8,164.62, 12,235.98 and 4,461.30 is: 6,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.62 : 12,235.98 = 4,461.30 : x
  2. Step 2: Convert to fraction form
    8,164.62/12,235.98 = 4,461.30/x
  3. Step 3: Cross multiply
    8,164.62x = 12,235.98 × 4,461.30
  4. Step 4: Simplify right side
    8,164.62x = 54,588,377.57
  5. Step 5: Solve for x
    x = 54,588,377.57/8,164.62
  6. Step 6: Final answer
    x = 6,685.97

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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.