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Finding the Fourth Proportional to 12.46, 18.70 and 6.46

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Solution

The fourth proportional to 12.46, 18.70 and 6.46 is: 9.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.46 : 18.70 = 6.46 : x
  2. Step 2: Convert to fraction form
    12.46/18.70 = 6.46/x
  3. Step 3: Cross multiply
    12.46x = 18.70 × 6.46
  4. Step 4: Simplify right side
    12.46x = 120.80
  5. Step 5: Solve for x
    x = 120.80/12.46
  6. Step 6: Final answer
    x = 9.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.