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Finding the Fourth Proportional to 6,663, 10,016.10 and 6,182.04

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Solution

The fourth proportional to 6,663, 10,016.10 and 6,182.04 is: 9,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663 : 10,016.10 = 6,182.04 : x
  2. Step 2: Convert to fraction form
    6,663/10,016.10 = 6,182.04/x
  3. Step 3: Cross multiply
    6,663x = 10,016.10 × 6,182.04
  4. Step 4: Simplify right side
    6,663x = 61,919,930.84
  5. Step 5: Solve for x
    x = 61,919,930.84/6,663
  6. Step 6: Final answer
    x = 9,293.10

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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.