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Finding the Fourth Proportional to 4,764.12, 7,146.12 and 1,476.83

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Solution

The fourth proportional to 4,764.12, 7,146.12 and 1,476.83 is: 2,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.12 : 7,146.12 = 1,476.83 : x
  2. Step 2: Convert to fraction form
    4,764.12/7,146.12 = 1,476.83/x
  3. Step 3: Cross multiply
    4,764.12x = 7,146.12 × 1,476.83
  4. Step 4: Simplify right side
    4,764.12x = 10,553,627.80
  5. Step 5: Solve for x
    x = 10,553,627.80/4,764.12
  6. Step 6: Final answer
    x = 2,215.23

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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.