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Finding the Fourth Proportional to 19,216, 28,824 and 4,624

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Solution

The fourth proportional to 19,216, 28,824 and 4,624 is: 6,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216 : 28,824 = 4,624 : x
  2. Step 2: Convert to fraction form
    19,216/28,824 = 4,624/x
  3. Step 3: Cross multiply
    19,216x = 28,824 × 4,624
  4. Step 4: Simplify right side
    19,216x = 133,282,176
  5. Step 5: Solve for x
    x = 133,282,176/19,216
  6. Step 6: Final answer
    x = 6,936

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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.