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Finding the Fourth Proportional to 6,613.31, 9,921.64 and 3,053.72

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Solution

The fourth proportional to 6,613.31, 9,921.64 and 3,053.72 is: 4,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.31 : 9,921.64 = 3,053.72 : x
  2. Step 2: Convert to fraction form
    6,613.31/9,921.64 = 3,053.72/x
  3. Step 3: Cross multiply
    6,613.31x = 9,921.64 × 3,053.72
  4. Step 4: Simplify right side
    6,613.31x = 30,297,910.50
  5. Step 5: Solve for x
    x = 30,297,910.50/6,613.31
  6. Step 6: Final answer
    x = 4,581.35

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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.