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Finding the Fourth Proportional to 29,213.46, 43,822.62 and 9,491.58

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Solution

The fourth proportional to 29,213.46, 43,822.62 and 9,491.58 is: 14,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,213.46 : 43,822.62 = 9,491.58 : x
  2. Step 2: Convert to fraction form
    29,213.46/43,822.62 = 9,491.58/x
  3. Step 3: Cross multiply
    29,213.46x = 43,822.62 × 9,491.58
  4. Step 4: Simplify right side
    29,213.46x = 415,945,903.54
  5. Step 5: Solve for x
    x = 415,945,903.54/29,213.46
  6. Step 6: Final answer
    x = 14,238.16

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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.