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Finding the Fourth Proportional to 11,665.26, 16,098 and 6,360.06

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Solution

The fourth proportional to 11,665.26, 16,098 and 6,360.06 is: 8,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.26 : 16,098 = 6,360.06 : x
  2. Step 2: Convert to fraction form
    11,665.26/16,098 = 6,360.06/x
  3. Step 3: Cross multiply
    11,665.26x = 16,098 × 6,360.06
  4. Step 4: Simplify right side
    11,665.26x = 102,384,245.88
  5. Step 5: Solve for x
    x = 102,384,245.88/11,665.26
  6. Step 6: Final answer
    x = 8,776.85

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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.