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Finding the Fourth Proportional to 14,668, 22,002 and 6,460

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Solution

The fourth proportional to 14,668, 22,002 and 6,460 is: 9,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668 : 22,002 = 6,460 : x
  2. Step 2: Convert to fraction form
    14,668/22,002 = 6,460/x
  3. Step 3: Cross multiply
    14,668x = 22,002 × 6,460
  4. Step 4: Simplify right side
    14,668x = 142,132,920
  5. Step 5: Solve for x
    x = 142,132,920/14,668
  6. Step 6: Final answer
    x = 9,690

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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.