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Finding the Fourth Proportional to 14,976, 22,464 and 4,032

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Solution

The fourth proportional to 14,976, 22,464 and 4,032 is: 6,048

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 22,464 = 4,032 : x
  2. Step 2: Convert to fraction form
    14,976/22,464 = 4,032/x
  3. Step 3: Cross multiply
    14,976x = 22,464 × 4,032
  4. Step 4: Simplify right side
    14,976x = 90,574,848
  5. Step 5: Solve for x
    x = 90,574,848/14,976
  6. Step 6: Final answer
    x = 6,048

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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.