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Finding the Fourth Proportional to 14,664, 21,996 and 6,456

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Solution

The fourth proportional to 14,664, 21,996 and 6,456 is: 9,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664 : 21,996 = 6,456 : x
  2. Step 2: Convert to fraction form
    14,664/21,996 = 6,456/x
  3. Step 3: Cross multiply
    14,664x = 21,996 × 6,456
  4. Step 4: Simplify right side
    14,664x = 142,006,176
  5. Step 5: Solve for x
    x = 142,006,176/14,664
  6. Step 6: Final answer
    x = 9,684

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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.