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Finding the Fourth Proportional to 8,206.48, 12,308.48 and 3,011.12

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Solution

The fourth proportional to 8,206.48, 12,308.48 and 3,011.12 is: 4,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.48 : 12,308.48 = 3,011.12 : x
  2. Step 2: Convert to fraction form
    8,206.48/12,308.48 = 3,011.12/x
  3. Step 3: Cross multiply
    8,206.48x = 12,308.48 × 3,011.12
  4. Step 4: Simplify right side
    8,206.48x = 37,062,310.30
  5. Step 5: Solve for x
    x = 37,062,310.30/8,206.48
  6. Step 6: Final answer
    x = 4,516.23

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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.