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Finding the Fourth Proportional to 14,764, 22,146 and 6,556

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Solution

The fourth proportional to 14,764, 22,146 and 6,556 is: 9,834

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764 : 22,146 = 6,556 : x
  2. Step 2: Convert to fraction form
    14,764/22,146 = 6,556/x
  3. Step 3: Cross multiply
    14,764x = 22,146 × 6,556
  4. Step 4: Simplify right side
    14,764x = 145,189,176
  5. Step 5: Solve for x
    x = 145,189,176/14,764
  6. Step 6: Final answer
    x = 9,834

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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.