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Finding the Fourth Proportional to 4,466.74, 6,700.28 and 1,693.62

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Solution

The fourth proportional to 4,466.74, 6,700.28 and 1,693.62 is: 2,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.74 : 6,700.28 = 1,693.62 : x
  2. Step 2: Convert to fraction form
    4,466.74/6,700.28 = 1,693.62/x
  3. Step 3: Cross multiply
    4,466.74x = 6,700.28 × 1,693.62
  4. Step 4: Simplify right side
    4,466.74x = 11,347,719.75
  5. Step 5: Solve for x
    x = 11,347,719.75/4,466.74
  6. Step 6: Final answer
    x = 2,540.49

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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.