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Finding the Fourth Proportional to 25,763, 38,644.50 and 6,307

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Solution

The fourth proportional to 25,763, 38,644.50 and 6,307 is: 9,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763 : 38,644.50 = 6,307 : x
  2. Step 2: Convert to fraction form
    25,763/38,644.50 = 6,307/x
  3. Step 3: Cross multiply
    25,763x = 38,644.50 × 6,307
  4. Step 4: Simplify right side
    25,763x = 243,730,861.50
  5. Step 5: Solve for x
    x = 243,730,861.50/25,763
  6. Step 6: Final answer
    x = 9,460.50

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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.