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Finding the Fourth Proportional to 6,166.50, 9,248.01 and 2,005.62

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Solution

The fourth proportional to 6,166.50, 9,248.01 and 2,005.62 is: 3,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.50 : 9,248.01 = 2,005.62 : x
  2. Step 2: Convert to fraction form
    6,166.50/9,248.01 = 2,005.62/x
  3. Step 3: Cross multiply
    6,166.50x = 9,248.01 × 2,005.62
  4. Step 4: Simplify right side
    6,166.50x = 18,547,993.82
  5. Step 5: Solve for x
    x = 18,547,993.82/6,166.50
  6. Step 6: Final answer
    x = 3,007.86

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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.