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Finding the Fourth Proportional to 12,300.40, 18,448.20 and 3,978.40

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Solution

The fourth proportional to 12,300.40, 18,448.20 and 3,978.40 is: 5,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.40 : 18,448.20 = 3,978.40 : x
  2. Step 2: Convert to fraction form
    12,300.40/18,448.20 = 3,978.40/x
  3. Step 3: Cross multiply
    12,300.40x = 18,448.20 × 3,978.40
  4. Step 4: Simplify right side
    12,300.40x = 73,394,318.88
  5. Step 5: Solve for x
    x = 73,394,318.88/12,300.40
  6. Step 6: Final answer
    x = 5,966.82

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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.