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Finding the Fourth Proportional to 14,902.01, 20,564.67 and 8,096.00

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Solution

The fourth proportional to 14,902.01, 20,564.67 and 8,096.00 is: 11,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.01 : 20,564.67 = 8,096.00 : x
  2. Step 2: Convert to fraction form
    14,902.01/20,564.67 = 8,096.00/x
  3. Step 3: Cross multiply
    14,902.01x = 20,564.67 × 8,096.00
  4. Step 4: Simplify right side
    14,902.01x = 166,491,600.15
  5. Step 5: Solve for x
    x = 166,491,600.15/14,902.01
  6. Step 6: Final answer
    x = 11,172.42

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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.