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Finding the Fourth Proportional to 8,141.42, 12,193.14 and 5,944.70

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Solution

The fourth proportional to 8,141.42, 12,193.14 and 5,944.70 is: 8,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.42 : 12,193.14 = 5,944.70 : x
  2. Step 2: Convert to fraction form
    8,141.42/12,193.14 = 5,944.70/x
  3. Step 3: Cross multiply
    8,141.42x = 12,193.14 × 5,944.70
  4. Step 4: Simplify right side
    8,141.42x = 72,484,559.36
  5. Step 5: Solve for x
    x = 72,484,559.36/8,141.42
  6. Step 6: Final answer
    x = 8,903.18

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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.