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Finding the Fourth Proportional to 14,572, 21,858 and 5,338

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Solution

The fourth proportional to 14,572, 21,858 and 5,338 is: 8,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572 : 21,858 = 5,338 : x
  2. Step 2: Convert to fraction form
    14,572/21,858 = 5,338/x
  3. Step 3: Cross multiply
    14,572x = 21,858 × 5,338
  4. Step 4: Simplify right side
    14,572x = 116,678,004
  5. Step 5: Solve for x
    x = 116,678,004/14,572
  6. Step 6: Final answer
    x = 8,007

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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.