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Finding the Fourth Proportional to 29,311.54, 43,971.41 and 9,586.16

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Solution

The fourth proportional to 29,311.54, 43,971.41 and 9,586.16 is: 14,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311.54 : 43,971.41 = 9,586.16 : x
  2. Step 2: Convert to fraction form
    29,311.54/43,971.41 = 9,586.16/x
  3. Step 3: Cross multiply
    29,311.54x = 43,971.41 × 9,586.16
  4. Step 4: Simplify right side
    29,311.54x = 421,517,033.68
  5. Step 5: Solve for x
    x = 421,517,033.68/29,311.54
  6. Step 6: Final answer
    x = 14,380.58

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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.