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Finding the Fourth Proportional to 14,811.89, 20,439.68 and 8,097.46

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Solution

The fourth proportional to 14,811.89, 20,439.68 and 8,097.46 is: 11,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.89 : 20,439.68 = 8,097.46 : x
  2. Step 2: Convert to fraction form
    14,811.89/20,439.68 = 8,097.46/x
  3. Step 3: Cross multiply
    14,811.89x = 20,439.68 × 8,097.46
  4. Step 4: Simplify right side
    14,811.89x = 165,509,399.63
  5. Step 5: Solve for x
    x = 165,509,399.63/14,811.89
  6. Step 6: Final answer
    x = 11,174.09

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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.