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Finding the Fourth Proportional to 14,977, 22,450.14 and 6,217

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Solution

The fourth proportional to 14,977, 22,450.14 and 6,217 is: 9,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977 : 22,450.14 = 6,217 : x
  2. Step 2: Convert to fraction form
    14,977/22,450.14 = 6,217/x
  3. Step 3: Cross multiply
    14,977x = 22,450.14 × 6,217
  4. Step 4: Simplify right side
    14,977x = 139,572,520.38
  5. Step 5: Solve for x
    x = 139,572,520.38/14,977
  6. Step 6: Final answer
    x = 9,319.12

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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.