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Finding the Fourth Proportional to 12,596.67, 17,381.28 and 7,290.57

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Solution

The fourth proportional to 12,596.67, 17,381.28 and 7,290.57 is: 10,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.67 : 17,381.28 = 7,290.57 : x
  2. Step 2: Convert to fraction form
    12,596.67/17,381.28 = 7,290.57/x
  3. Step 3: Cross multiply
    12,596.67x = 17,381.28 × 7,290.57
  4. Step 4: Simplify right side
    12,596.67x = 126,719,438.53
  5. Step 5: Solve for x
    x = 126,719,438.53/12,596.67
  6. Step 6: Final answer
    x = 10,059.76

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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.