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Finding the Fourth Proportional to 7,974, 11,962.92 and 2,502

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Solution

The fourth proportional to 7,974, 11,962.92 and 2,502 is: 3,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974 : 11,962.92 = 2,502 : x
  2. Step 2: Convert to fraction form
    7,974/11,962.92 = 2,502/x
  3. Step 3: Cross multiply
    7,974x = 11,962.92 × 2,502
  4. Step 4: Simplify right side
    7,974x = 29,931,225.84
  5. Step 5: Solve for x
    x = 29,931,225.84/7,974
  6. Step 6: Final answer
    x = 3,753.60

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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.