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Finding the Fourth Proportional to 12,546.42, 17,314.14 and 6,957.42

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Solution

The fourth proportional to 12,546.42, 17,314.14 and 6,957.42 is: 9,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.42 : 17,314.14 = 6,957.42 : x
  2. Step 2: Convert to fraction form
    12,546.42/17,314.14 = 6,957.42/x
  3. Step 3: Cross multiply
    12,546.42x = 17,314.14 × 6,957.42
  4. Step 4: Simplify right side
    12,546.42x = 120,461,743.92
  5. Step 5: Solve for x
    x = 120,461,743.92/12,546.42
  6. Step 6: Final answer
    x = 9,601.28

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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.