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Finding the Fourth Proportional to 4,871.62, 7,304.68 and 1,584.43

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Solution

The fourth proportional to 4,871.62, 7,304.68 and 1,584.43 is: 2,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.62 : 7,304.68 = 1,584.43 : x
  2. Step 2: Convert to fraction form
    4,871.62/7,304.68 = 1,584.43/x
  3. Step 3: Cross multiply
    4,871.62x = 7,304.68 × 1,584.43
  4. Step 4: Simplify right side
    4,871.62x = 11,573,754.13
  5. Step 5: Solve for x
    x = 11,573,754.13/4,871.62
  6. Step 6: Final answer
    x = 2,375.75

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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.