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Finding the Fourth Proportional to 8,311.96, 12,448.09 and 4,794.60

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Solution

The fourth proportional to 8,311.96, 12,448.09 and 4,794.60 is: 7,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.96 : 12,448.09 = 4,794.60 : x
  2. Step 2: Convert to fraction form
    8,311.96/12,448.09 = 4,794.60/x
  3. Step 3: Cross multiply
    8,311.96x = 12,448.09 × 4,794.60
  4. Step 4: Simplify right side
    8,311.96x = 59,683,612.31
  5. Step 5: Solve for x
    x = 59,683,612.31/8,311.96
  6. Step 6: Final answer
    x = 7,180.45

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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.