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Finding the Fourth Proportional to 8,281.54, 12,423.12 and 3,086.20

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Solution

The fourth proportional to 8,281.54, 12,423.12 and 3,086.20 is: 4,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.54 : 12,423.12 = 3,086.20 : x
  2. Step 2: Convert to fraction form
    8,281.54/12,423.12 = 3,086.20/x
  3. Step 3: Cross multiply
    8,281.54x = 12,423.12 × 3,086.20
  4. Step 4: Simplify right side
    8,281.54x = 38,340,232.94
  5. Step 5: Solve for x
    x = 38,340,232.94/8,281.54
  6. Step 6: Final answer
    x = 4,629.60

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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.