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Finding the Fourth Proportional to 7,669.97, 11,502.49 and 2,474.63

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Solution

The fourth proportional to 7,669.97, 11,502.49 and 2,474.63 is: 3,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.97 : 11,502.49 = 2,474.63 : x
  2. Step 2: Convert to fraction form
    7,669.97/11,502.49 = 2,474.63/x
  3. Step 3: Cross multiply
    7,669.97x = 11,502.49 × 2,474.63
  4. Step 4: Simplify right side
    7,669.97x = 28,464,406.83
  5. Step 5: Solve for x
    x = 28,464,406.83/7,669.97
  6. Step 6: Final answer
    x = 3,711.15

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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.