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Finding the Fourth Proportional to 8,308.20, 12,397.20 and 8,259.60

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Solution

The fourth proportional to 8,308.20, 12,397.20 and 8,259.60 is: 12,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.20 : 12,397.20 = 8,259.60 : x
  2. Step 2: Convert to fraction form
    8,308.20/12,397.20 = 8,259.60/x
  3. Step 3: Cross multiply
    8,308.20x = 12,397.20 × 8,259.60
  4. Step 4: Simplify right side
    8,308.20x = 102,395,913.12
  5. Step 5: Solve for x
    x = 102,395,913.12/8,308.20
  6. Step 6: Final answer
    x = 12,324.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.