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Finding the Fourth Proportional to 12,896.40, 19,344.60 and 6,335.40

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Solution

The fourth proportional to 12,896.40, 19,344.60 and 6,335.40 is: 9,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.40 : 19,344.60 = 6,335.40 : x
  2. Step 2: Convert to fraction form
    12,896.40/19,344.60 = 6,335.40/x
  3. Step 3: Cross multiply
    12,896.40x = 19,344.60 × 6,335.40
  4. Step 4: Simplify right side
    12,896.40x = 122,555,778.84
  5. Step 5: Solve for x
    x = 122,555,778.84/12,896.40
  6. Step 6: Final answer
    x = 9,503.10

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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.