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Finding the Fourth Proportional to 14,469.68, 21,705 and 4,610

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Solution

The fourth proportional to 14,469.68, 21,705 and 4,610 is: 6,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.68 : 21,705 = 4,610 : x
  2. Step 2: Convert to fraction form
    14,469.68/21,705 = 4,610/x
  3. Step 3: Cross multiply
    14,469.68x = 21,705 × 4,610
  4. Step 4: Simplify right side
    14,469.68x = 100,060,050
  5. Step 5: Solve for x
    x = 100,060,050/14,469.68
  6. Step 6: Final answer
    x = 6,915.15

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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.