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Finding the Fourth Proportional to 11,898.66, 17,769.87 and 9,562.23

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Solution

The fourth proportional to 11,898.66, 17,769.87 and 9,562.23 is: 14,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.66 : 17,769.87 = 9,562.23 : x
  2. Step 2: Convert to fraction form
    11,898.66/17,769.87 = 9,562.23/x
  3. Step 3: Cross multiply
    11,898.66x = 17,769.87 × 9,562.23
  4. Step 4: Simplify right side
    11,898.66x = 169,919,584.01
  5. Step 5: Solve for x
    x = 169,919,584.01/11,898.66
  6. Step 6: Final answer
    x = 14,280.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.