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Finding the Fourth Proportional to 16,898, 25,347.10 and 4,586

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Solution

The fourth proportional to 16,898, 25,347.10 and 4,586 is: 6,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898 : 25,347.10 = 4,586 : x
  2. Step 2: Convert to fraction form
    16,898/25,347.10 = 4,586/x
  3. Step 3: Cross multiply
    16,898x = 25,347.10 × 4,586
  4. Step 4: Simplify right side
    16,898x = 116,241,800.60
  5. Step 5: Solve for x
    x = 116,241,800.60/16,898
  6. Step 6: Final answer
    x = 6,879.03

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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.