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Finding the Fourth Proportional to 6,630.16, 9,149.84 and 3,646.10

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Solution

The fourth proportional to 6,630.16, 9,149.84 and 3,646.10 is: 5,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.16 : 9,149.84 = 3,646.10 : x
  2. Step 2: Convert to fraction form
    6,630.16/9,149.84 = 3,646.10/x
  3. Step 3: Cross multiply
    6,630.16x = 9,149.84 × 3,646.10
  4. Step 4: Simplify right side
    6,630.16x = 33,361,231.62
  5. Step 5: Solve for x
    x = 33,361,231.62/6,630.16
  6. Step 6: Final answer
    x = 5,031.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.