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Finding the Fourth Proportional to 6,377.34, 9,565.38 and 1,994.67

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Solution

The fourth proportional to 6,377.34, 9,565.38 and 1,994.67 is: 2,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.34 : 9,565.38 = 1,994.67 : x
  2. Step 2: Convert to fraction form
    6,377.34/9,565.38 = 1,994.67/x
  3. Step 3: Cross multiply
    6,377.34x = 9,565.38 × 1,994.67
  4. Step 4: Simplify right side
    6,377.34x = 19,079,776.52
  5. Step 5: Solve for x
    x = 19,079,776.52/6,377.34
  6. Step 6: Final answer
    x = 2,991.81

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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.