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Finding the Fourth Proportional to 22,704, 34,056 and 6,288

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Solution

The fourth proportional to 22,704, 34,056 and 6,288 is: 9,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704 : 34,056 = 6,288 : x
  2. Step 2: Convert to fraction form
    22,704/34,056 = 6,288/x
  3. Step 3: Cross multiply
    22,704x = 34,056 × 6,288
  4. Step 4: Simplify right side
    22,704x = 214,144,128
  5. Step 5: Solve for x
    x = 214,144,128/22,704
  6. Step 6: Final answer
    x = 9,432

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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.