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Finding the Fourth Proportional to 11,444.16, 17,182.08 and 5,902.08

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Solution

The fourth proportional to 11,444.16, 17,182.08 and 5,902.08 is: 8,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.16 : 17,182.08 = 5,902.08 : x
  2. Step 2: Convert to fraction form
    11,444.16/17,182.08 = 5,902.08/x
  3. Step 3: Cross multiply
    11,444.16x = 17,182.08 × 5,902.08
  4. Step 4: Simplify right side
    11,444.16x = 101,410,010.73
  5. Step 5: Solve for x
    x = 101,410,010.73/11,444.16
  6. Step 6: Final answer
    x = 8,861.29

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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.