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Finding the Fourth Proportional to 17,138.70, 25,688.85 and 9,746.70

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Solution

The fourth proportional to 17,138.70, 25,688.85 and 9,746.70 is: 14,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.70 : 25,688.85 = 9,746.70 : x
  2. Step 2: Convert to fraction form
    17,138.70/25,688.85 = 9,746.70/x
  3. Step 3: Cross multiply
    17,138.70x = 25,688.85 × 9,746.70
  4. Step 4: Simplify right side
    17,138.70x = 250,381,514.30
  5. Step 5: Solve for x
    x = 250,381,514.30/17,138.70
  6. Step 6: Final answer
    x = 14,609.13

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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.