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Finding the Fourth Proportional to 3,304.50, 4,956.93 and 996.18

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Solution

The fourth proportional to 3,304.50, 4,956.93 and 996.18 is: 1,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.50 : 4,956.93 = 996.18 : x
  2. Step 2: Convert to fraction form
    3,304.50/4,956.93 = 996.18/x
  3. Step 3: Cross multiply
    3,304.50x = 4,956.93 × 996.18
  4. Step 4: Simplify right side
    3,304.50x = 4,937,994.53
  5. Step 5: Solve for x
    x = 4,937,994.53/3,304.50
  6. Step 6: Final answer
    x = 1,494.32

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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.