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Finding the Fourth Proportional to 6,159.44, 9,191.09 and 5,496.77

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Solution

The fourth proportional to 6,159.44, 9,191.09 and 5,496.77 is: 8,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.44 : 9,191.09 = 5,496.77 : x
  2. Step 2: Convert to fraction form
    6,159.44/9,191.09 = 5,496.77/x
  3. Step 3: Cross multiply
    6,159.44x = 9,191.09 × 5,496.77
  4. Step 4: Simplify right side
    6,159.44x = 50,521,234.34
  5. Step 5: Solve for x
    x = 50,521,234.34/6,159.44
  6. Step 6: Final answer
    x = 8,202.25

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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.