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Finding the Fourth Proportional to 12,546.70, 17,314.19 and 6,957.70

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Solution

The fourth proportional to 12,546.70, 17,314.19 and 6,957.70 is: 9,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.70 : 17,314.19 = 6,957.70 : x
  2. Step 2: Convert to fraction form
    12,546.70/17,314.19 = 6,957.70/x
  3. Step 3: Cross multiply
    12,546.70x = 17,314.19 × 6,957.70
  4. Step 4: Simplify right side
    12,546.70x = 120,466,887.78
  5. Step 5: Solve for x
    x = 120,466,887.78/12,546.70
  6. Step 6: Final answer
    x = 9,601.48

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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.