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Finding the Fourth Proportional to 4,511, 6,767.58 and 1,433

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Solution

The fourth proportional to 4,511, 6,767.58 and 1,433 is: 2,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511 : 6,767.58 = 1,433 : x
  2. Step 2: Convert to fraction form
    4,511/6,767.58 = 1,433/x
  3. Step 3: Cross multiply
    4,511x = 6,767.58 × 1,433
  4. Step 4: Simplify right side
    4,511x = 9,697,942.14
  5. Step 5: Solve for x
    x = 9,697,942.14/4,511
  6. Step 6: Final answer
    x = 2,149.84

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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.