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Finding the Fourth Proportional to 4,964.68, 7,450.62 and 4,002.40

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Solution

The fourth proportional to 4,964.68, 7,450.62 and 4,002.40 is: 6,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.68 : 7,450.62 = 4,002.40 : x
  2. Step 2: Convert to fraction form
    4,964.68/7,450.62 = 4,002.40/x
  3. Step 3: Cross multiply
    4,964.68x = 7,450.62 × 4,002.40
  4. Step 4: Simplify right side
    4,964.68x = 29,820,361.49
  5. Step 5: Solve for x
    x = 29,820,361.49/4,964.68
  6. Step 6: Final answer
    x = 6,006.50

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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.