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Finding the Fourth Proportional to 12,635.66, 17,438.20 and 6,970.92

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Solution

The fourth proportional to 12,635.66, 17,438.20 and 6,970.92 is: 9,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.66 : 17,438.20 = 6,970.92 : x
  2. Step 2: Convert to fraction form
    12,635.66/17,438.20 = 6,970.92/x
  3. Step 3: Cross multiply
    12,635.66x = 17,438.20 × 6,970.92
  4. Step 4: Simplify right side
    12,635.66x = 121,560,297.14
  5. Step 5: Solve for x
    x = 121,560,297.14/12,635.66
  6. Step 6: Final answer
    x = 9,620.42

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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.