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Finding the Fourth Proportional to 4,965.25, 7,447.06 and 1,501.69

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Solution

The fourth proportional to 4,965.25, 7,447.06 and 1,501.69 is: 2,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.25 : 7,447.06 = 1,501.69 : x
  2. Step 2: Convert to fraction form
    4,965.25/7,447.06 = 1,501.69/x
  3. Step 3: Cross multiply
    4,965.25x = 7,447.06 × 1,501.69
  4. Step 4: Simplify right side
    4,965.25x = 11,183,153.16
  5. Step 5: Solve for x
    x = 11,183,153.16/4,965.25
  6. Step 6: Final answer
    x = 2,252.29

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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.