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Finding the Fourth Proportional to 15,842, 23,763 and 4,898

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Solution

The fourth proportional to 15,842, 23,763 and 4,898 is: 7,347

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842 : 23,763 = 4,898 : x
  2. Step 2: Convert to fraction form
    15,842/23,763 = 4,898/x
  3. Step 3: Cross multiply
    15,842x = 23,763 × 4,898
  4. Step 4: Simplify right side
    15,842x = 116,391,174
  5. Step 5: Solve for x
    x = 116,391,174/15,842
  6. Step 6: Final answer
    x = 7,347

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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.