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Finding the Fourth Proportional to 9,755.12, 14,607.96 and 6,999.50

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Solution

The fourth proportional to 9,755.12, 14,607.96 and 6,999.50 is: 10,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.12 : 14,607.96 = 6,999.50 : x
  2. Step 2: Convert to fraction form
    9,755.12/14,607.96 = 6,999.50/x
  3. Step 3: Cross multiply
    9,755.12x = 14,607.96 × 6,999.50
  4. Step 4: Simplify right side
    9,755.12x = 102,248,342.98
  5. Step 5: Solve for x
    x = 102,248,342.98/9,755.12
  6. Step 6: Final answer
    x = 10,481.51

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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.