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Finding the Fourth Proportional to 14,674, 22,011 and 6,466

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Solution

The fourth proportional to 14,674, 22,011 and 6,466 is: 9,699

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674 : 22,011 = 6,466 : x
  2. Step 2: Convert to fraction form
    14,674/22,011 = 6,466/x
  3. Step 3: Cross multiply
    14,674x = 22,011 × 6,466
  4. Step 4: Simplify right side
    14,674x = 142,323,126
  5. Step 5: Solve for x
    x = 142,323,126/14,674
  6. Step 6: Final answer
    x = 9,699

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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.