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Finding the Fourth Proportional to 7,948, 11,922 and 2,476

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Solution

The fourth proportional to 7,948, 11,922 and 2,476 is: 3,714

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948 : 11,922 = 2,476 : x
  2. Step 2: Convert to fraction form
    7,948/11,922 = 2,476/x
  3. Step 3: Cross multiply
    7,948x = 11,922 × 2,476
  4. Step 4: Simplify right side
    7,948x = 29,518,872
  5. Step 5: Solve for x
    x = 29,518,872/7,948
  6. Step 6: Final answer
    x = 3,714

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.