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Finding the Fourth Proportional to 12,394.20, 18,591.30 and 7,461.30

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Solution

The fourth proportional to 12,394.20, 18,591.30 and 7,461.30 is: 11,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.20 : 18,591.30 = 7,461.30 : x
  2. Step 2: Convert to fraction form
    12,394.20/18,591.30 = 7,461.30/x
  3. Step 3: Cross multiply
    12,394.20x = 18,591.30 × 7,461.30
  4. Step 4: Simplify right side
    12,394.20x = 138,715,266.69
  5. Step 5: Solve for x
    x = 138,715,266.69/12,394.20
  6. Step 6: Final answer
    x = 11,191.95

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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.