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Finding the Fourth Proportional to 9,958.75, 14,896.51 and 6,996.98

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Solution

The fourth proportional to 9,958.75, 14,896.51 and 6,996.98 is: 10,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.75 : 14,896.51 = 6,996.98 : x
  2. Step 2: Convert to fraction form
    9,958.75/14,896.51 = 6,996.98/x
  3. Step 3: Cross multiply
    9,958.75x = 14,896.51 × 6,996.98
  4. Step 4: Simplify right side
    9,958.75x = 104,230,602.29
  5. Step 5: Solve for x
    x = 104,230,602.29/9,958.75
  6. Step 6: Final answer
    x = 10,466.24

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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.