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Finding the Fourth Proportional to 4,467, 6,700.65 and 1,693.87

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Solution

The fourth proportional to 4,467, 6,700.65 and 1,693.87 is: 2,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467 : 6,700.65 = 1,693.87 : x
  2. Step 2: Convert to fraction form
    4,467/6,700.65 = 1,693.87/x
  3. Step 3: Cross multiply
    4,467x = 6,700.65 × 1,693.87
  4. Step 4: Simplify right side
    4,467x = 11,350,030.02
  5. Step 5: Solve for x
    x = 11,350,030.02/4,467
  6. Step 6: Final answer
    x = 2,540.86

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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.