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Finding the Fourth Proportional to 11,576.37, 17,359.37 and 6,898.59

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Solution

The fourth proportional to 11,576.37, 17,359.37 and 6,898.59 is: 10,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.37 : 17,359.37 = 6,898.59 : x
  2. Step 2: Convert to fraction form
    11,576.37/17,359.37 = 6,898.59/x
  3. Step 3: Cross multiply
    11,576.37x = 17,359.37 × 6,898.59
  4. Step 4: Simplify right side
    11,576.37x = 119,755,176.29
  5. Step 5: Solve for x
    x = 119,755,176.29/11,576.37
  6. Step 6: Final answer
    x = 10,344.80

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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.