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Finding the Fourth Proportional to 6,613.13, 9,916.25 and 2,229

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Solution

The fourth proportional to 6,613.13, 9,916.25 and 2,229 is: 3,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.13 : 9,916.25 = 2,229 : x
  2. Step 2: Convert to fraction form
    6,613.13/9,916.25 = 2,229/x
  3. Step 3: Cross multiply
    6,613.13x = 9,916.25 × 2,229
  4. Step 4: Simplify right side
    6,613.13x = 22,103,310.11
  5. Step 5: Solve for x
    x = 22,103,310.11/6,613.13
  6. Step 6: Final answer
    x = 3,342.34

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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.