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Finding the Fourth Proportional to 12,546.88, 17,314.72 and 6,957.88

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Solution

The fourth proportional to 12,546.88, 17,314.72 and 6,957.88 is: 9,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.88 : 17,314.72 = 6,957.88 : x
  2. Step 2: Convert to fraction form
    12,546.88/17,314.72 = 6,957.88/x
  3. Step 3: Cross multiply
    12,546.88x = 17,314.72 × 6,957.88
  4. Step 4: Simplify right side
    12,546.88x = 120,473,743.99
  5. Step 5: Solve for x
    x = 120,473,743.99/12,546.88
  6. Step 6: Final answer
    x = 9,601.89

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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.