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Finding the Fourth Proportional to 8,289.32, 11,439.78 and 4,563.32

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Solution

The fourth proportional to 8,289.32, 11,439.78 and 4,563.32 is: 6,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.32 : 11,439.78 = 4,563.32 : x
  2. Step 2: Convert to fraction form
    8,289.32/11,439.78 = 4,563.32/x
  3. Step 3: Cross multiply
    8,289.32x = 11,439.78 × 4,563.32
  4. Step 4: Simplify right side
    8,289.32x = 52,203,376.87
  5. Step 5: Solve for x
    x = 52,203,376.87/8,289.32
  6. Step 6: Final answer
    x = 6,297.67

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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.