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Finding the Fourth Proportional to 12,546.75, 17,314.56 and 6,957.75

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Solution

The fourth proportional to 12,546.75, 17,314.56 and 6,957.75 is: 9,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.75 : 17,314.56 = 6,957.75 : x
  2. Step 2: Convert to fraction form
    12,546.75/17,314.56 = 6,957.75/x
  3. Step 3: Cross multiply
    12,546.75x = 17,314.56 × 6,957.75
  4. Step 4: Simplify right side
    12,546.75x = 120,470,379.84
  5. Step 5: Solve for x
    x = 120,470,379.84/12,546.75
  6. Step 6: Final answer
    x = 9,601.72

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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.