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Finding the Fourth Proportional to 14,944, 22,416 and 4,000

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Solution

The fourth proportional to 14,944, 22,416 and 4,000 is: 6,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944 : 22,416 = 4,000 : x
  2. Step 2: Convert to fraction form
    14,944/22,416 = 4,000/x
  3. Step 3: Cross multiply
    14,944x = 22,416 × 4,000
  4. Step 4: Simplify right side
    14,944x = 89,664,000
  5. Step 5: Solve for x
    x = 89,664,000/14,944
  6. Step 6: Final answer
    x = 6,000

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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.