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Finding the Fourth Proportional to 8,414.60, 11,528.05 and 8,099.31

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Solution

The fourth proportional to 8,414.60, 11,528.05 and 8,099.31 is: 11,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.60 : 11,528.05 = 8,099.31 : x
  2. Step 2: Convert to fraction form
    8,414.60/11,528.05 = 8,099.31/x
  3. Step 3: Cross multiply
    8,414.60x = 11,528.05 × 8,099.31
  4. Step 4: Simplify right side
    8,414.60x = 93,369,250.65
  5. Step 5: Solve for x
    x = 93,369,250.65/8,414.60
  6. Step 6: Final answer
    x = 11,096.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.