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Finding the Fourth Proportional to 12,682.70, 17,504.89 and 7,378.22

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Solution

The fourth proportional to 12,682.70, 17,504.89 and 7,378.22 is: 10,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.70 : 17,504.89 = 7,378.22 : x
  2. Step 2: Convert to fraction form
    12,682.70/17,504.89 = 7,378.22/x
  3. Step 3: Cross multiply
    12,682.70x = 17,504.89 × 7,378.22
  4. Step 4: Simplify right side
    12,682.70x = 129,154,823.53
  5. Step 5: Solve for x
    x = 129,154,823.53/12,682.70
  6. Step 6: Final answer
    x = 10,183.54

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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.