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Finding the Fourth Proportional to 4,944, 7,416 and 1,296

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Solution

The fourth proportional to 4,944, 7,416 and 1,296 is: 1,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944 : 7,416 = 1,296 : x
  2. Step 2: Convert to fraction form
    4,944/7,416 = 1,296/x
  3. Step 3: Cross multiply
    4,944x = 7,416 × 1,296
  4. Step 4: Simplify right side
    4,944x = 9,611,136
  5. Step 5: Solve for x
    x = 9,611,136/4,944
  6. Step 6: Final answer
    x = 1,944

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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.