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Finding the Fourth Proportional to 12,584.40, 18,864.20 and 7,040.40

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Solution

The fourth proportional to 12,584.40, 18,864.20 and 7,040.40 is: 10,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.40 : 18,864.20 = 7,040.40 : x
  2. Step 2: Convert to fraction form
    12,584.40/18,864.20 = 7,040.40/x
  3. Step 3: Cross multiply
    12,584.40x = 18,864.20 × 7,040.40
  4. Step 4: Simplify right side
    12,584.40x = 132,811,513.68
  5. Step 5: Solve for x
    x = 132,811,513.68/12,584.40
  6. Step 6: Final answer
    x = 10,553.66

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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.