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Finding the Fourth Proportional to 9,159.56, 12,625.44 and 6,174.44

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Solution

The fourth proportional to 9,159.56, 12,625.44 and 6,174.44 is: 8,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.56 : 12,625.44 = 6,174.44 : x
  2. Step 2: Convert to fraction form
    9,159.56/12,625.44 = 6,174.44/x
  3. Step 3: Cross multiply
    9,159.56x = 12,625.44 × 6,174.44
  4. Step 4: Simplify right side
    9,159.56x = 77,955,021.75
  5. Step 5: Solve for x
    x = 77,955,021.75/9,159.56
  6. Step 6: Final answer
    x = 8,510.78

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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.