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Finding the Fourth Proportional to 9,974.92, 14,964 and 3,737.08

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Solution

The fourth proportional to 9,974.92, 14,964 and 3,737.08 is: 5,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.92 : 14,964 = 3,737.08 : x
  2. Step 2: Convert to fraction form
    9,974.92/14,964 = 3,737.08/x
  3. Step 3: Cross multiply
    9,974.92x = 14,964 × 3,737.08
  4. Step 4: Simplify right side
    9,974.92x = 55,921,665.12
  5. Step 5: Solve for x
    x = 55,921,665.12/9,974.92
  6. Step 6: Final answer
    x = 5,606.23

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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.