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Finding the Fourth Proportional to 17,597.70, 26,401.14 and 7,738.92

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Solution

The fourth proportional to 17,597.70, 26,401.14 and 7,738.92 is: 11,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597.70 : 26,401.14 = 7,738.92 : x
  2. Step 2: Convert to fraction form
    17,597.70/26,401.14 = 7,738.92/x
  3. Step 3: Cross multiply
    17,597.70x = 26,401.14 × 7,738.92
  4. Step 4: Simplify right side
    17,597.70x = 204,316,310.37
  5. Step 5: Solve for x
    x = 204,316,310.37/17,597.70
  6. Step 6: Final answer
    x = 11,610.40

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1.5x scale

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.