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Finding the Fourth Proportional to 20,595.75, 30,894.84 and 6,744.75

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Solution

The fourth proportional to 20,595.75, 30,894.84 and 6,744.75 is: 10,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.75 : 30,894.84 = 6,744.75 : x
  2. Step 2: Convert to fraction form
    20,595.75/30,894.84 = 6,744.75/x
  3. Step 3: Cross multiply
    20,595.75x = 30,894.84 × 6,744.75
  4. Step 4: Simplify right side
    20,595.75x = 208,377,972.09
  5. Step 5: Solve for x
    x = 208,377,972.09/20,595.75
  6. Step 6: Final answer
    x = 10,117.52

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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.