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Finding the Fourth Proportional to 8,141.16, 11,234.84 and 4,415.16

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Solution

The fourth proportional to 8,141.16, 11,234.84 and 4,415.16 is: 6,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.16 : 11,234.84 = 4,415.16 : x
  2. Step 2: Convert to fraction form
    8,141.16/11,234.84 = 4,415.16/x
  3. Step 3: Cross multiply
    8,141.16x = 11,234.84 × 4,415.16
  4. Step 4: Simplify right side
    8,141.16x = 49,603,616.17
  5. Step 5: Solve for x
    x = 49,603,616.17/8,141.16
  6. Step 6: Final answer
    x = 6,092.94

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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.