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Finding the Fourth Proportional to 17,138.70, 25,708.05 and 10,226.70

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Solution

The fourth proportional to 17,138.70, 25,708.05 and 10,226.70 is: 15,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.70 : 25,708.05 = 10,226.70 : x
  2. Step 2: Convert to fraction form
    17,138.70/25,708.05 = 10,226.70/x
  3. Step 3: Cross multiply
    17,138.70x = 25,708.05 × 10,226.70
  4. Step 4: Simplify right side
    17,138.70x = 262,908,514.94
  5. Step 5: Solve for x
    x = 262,908,514.94/17,138.70
  6. Step 6: Final answer
    x = 15,340.05

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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.