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Finding the Fourth Proportional to 7,966.91, 10,994.31 and 4,381.85

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Solution

The fourth proportional to 7,966.91, 10,994.31 and 4,381.85 is: 6,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.91 : 10,994.31 = 4,381.85 : x
  2. Step 2: Convert to fraction form
    7,966.91/10,994.31 = 4,381.85/x
  3. Step 3: Cross multiply
    7,966.91x = 10,994.31 × 4,381.85
  4. Step 4: Simplify right side
    7,966.91x = 48,175,362.30
  5. Step 5: Solve for x
    x = 48,175,362.30/7,966.91
  6. Step 6: Final answer
    x = 6,046.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.