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Finding the Fourth Proportional to 9,286.48, 12,787.32 and 8,025.22

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Solution

The fourth proportional to 9,286.48, 12,787.32 and 8,025.22 is: 11,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.48 : 12,787.32 = 8,025.22 : x
  2. Step 2: Convert to fraction form
    9,286.48/12,787.32 = 8,025.22/x
  3. Step 3: Cross multiply
    9,286.48x = 12,787.32 × 8,025.22
  4. Step 4: Simplify right side
    9,286.48x = 102,621,056.21
  5. Step 5: Solve for x
    x = 102,621,056.21/9,286.48
  6. Step 6: Final answer
    x = 11,050.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.