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Finding the Fourth Proportional to 12,296.60, 18,440.40 and 3,978.80

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Solution

The fourth proportional to 12,296.60, 18,440.40 and 3,978.80 is: 5,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.60 : 18,440.40 = 3,978.80 : x
  2. Step 2: Convert to fraction form
    12,296.60/18,440.40 = 3,978.80/x
  3. Step 3: Cross multiply
    12,296.60x = 18,440.40 × 3,978.80
  4. Step 4: Simplify right side
    12,296.60x = 73,370,663.52
  5. Step 5: Solve for x
    x = 73,370,663.52/12,296.60
  6. Step 6: Final answer
    x = 5,966.74

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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.