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Finding the Fourth Proportional to 8,293.40, 12,446.90 and 8,228.60

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Solution

The fourth proportional to 8,293.40, 12,446.90 and 8,228.60 is: 12,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.40 : 12,446.90 = 8,228.60 : x
  2. Step 2: Convert to fraction form
    8,293.40/12,446.90 = 8,228.60/x
  3. Step 3: Cross multiply
    8,293.40x = 12,446.90 × 8,228.60
  4. Step 4: Simplify right side
    8,293.40x = 102,420,561.34
  5. Step 5: Solve for x
    x = 102,420,561.34/8,293.40
  6. Step 6: Final answer
    x = 12,349.65

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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.