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Finding the Fourth Proportional to 8,123.70, 12,185.55 and 4,227.60

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Solution

The fourth proportional to 8,123.70, 12,185.55 and 4,227.60 is: 6,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.70 : 12,185.55 = 4,227.60 : x
  2. Step 2: Convert to fraction form
    8,123.70/12,185.55 = 4,227.60/x
  3. Step 3: Cross multiply
    8,123.70x = 12,185.55 × 4,227.60
  4. Step 4: Simplify right side
    8,123.70x = 51,515,631.18
  5. Step 5: Solve for x
    x = 51,515,631.18/8,123.70
  6. Step 6: Final answer
    x = 6,341.40

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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.