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Finding the Fourth Proportional to 12,884.40, 19,310.40 and 6,296.40

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Solution

The fourth proportional to 12,884.40, 19,310.40 and 6,296.40 is: 9,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.40 : 19,310.40 = 6,296.40 : x
  2. Step 2: Convert to fraction form
    12,884.40/19,310.40 = 6,296.40/x
  3. Step 3: Cross multiply
    12,884.40x = 19,310.40 × 6,296.40
  4. Step 4: Simplify right side
    12,884.40x = 121,586,002.56
  5. Step 5: Solve for x
    x = 121,586,002.56/12,884.40
  6. Step 6: Final answer
    x = 9,436.68

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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.