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Finding the Fourth Proportional to 19,656, 29,484 and 5,064

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Solution

The fourth proportional to 19,656, 29,484 and 5,064 is: 7,596

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656 : 29,484 = 5,064 : x
  2. Step 2: Convert to fraction form
    19,656/29,484 = 5,064/x
  3. Step 3: Cross multiply
    19,656x = 29,484 × 5,064
  4. Step 4: Simplify right side
    19,656x = 149,306,976
  5. Step 5: Solve for x
    x = 149,306,976/19,656
  6. Step 6: Final answer
    x = 7,596

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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.